2019
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**2017**
2016
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- E. Acerbi - N. Fusco - V. Julin - M. Morini (Accepted Paper:
*Journal of Differential Geometry*)

Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow (2017) - E. Acerbi - D. Mucci (
*Milan J. Math.*)

Curvature-dependent energies (2017) - E. Acerbi - D. Mucci (
*Proc. Roy. Soc. Edinburgh Sect. A*)

Curvature-dependent energies: a geometric and analytical approach (2017) - E. Acerbi - D. Mucci (
*Nonlinear Analysis*)

Curvature-dependent energies: the elastic case (2017) - Y. Achdou - M. Bardi - M. Cirant (
*Math. Models Methods Appl. Sci.*)

Mean Field Games models of segregation (2017) - V. Agostiniani - A. Lucantonio - D. Lučić (Accepted Paper:
*ESAIM: COCV*)

Heterogeneous elastic plates with in-plane modulation of the target curvature and applications to thin gel sheets (2017) - V. Agostiniani - R. Rossi (
*J. Differential Equations*)

Singular vanishing-viscosity limits of gradient flows: the finite-dimensional case (2017) - G. Alberti - A. Massaccesi (
*Rend. Lincei Mat. Appl.*)

On some geometric properties of currents and Frobenius theorem (2017) - G. Alberti - M. Ottolini (
*Nonlinear Analysis*)

On the structure of continua with finite length and Golab's semicontinuity theorem (2017) - R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (
*Calc. Var. Partial Differential Equations*)

Minimising movements for the motion of discrete screw dislocations along glide directions (2017) - R. Alicandro - G. Lazzaroni - M. Palombaro (
*Calc. Var. Partial Differential Equations*)

On the effect of interactions beyond nearest neighbours on non-convex lattice systems (2017) - S. Almi - G. Dal Maso - R. Toader (
*J. Math. Pures Appl.*)

A lower semicontinuity result for a free discontinuity functional with a boundary term (2017) - C. Alves - F. Gao - M. Squassina - M. Yang (Accepted Paper:
*J. Differential Equations*)

Singularly perturbed critical Choquard equations (2017) - L. Ambrosio (Submitted Paper)

Well posedness of ODE's and continuity equations with nonsmooth vector fields, and applications (2017) - L. Ambrosio - E. Bruè - D. Trevisan (preprint)

Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces (2017) - L. Ambrosio - M. Colombo - A. Figalli (Accepted Paper:
*Duke Math. J.*)

On the Lagrangian structure of transport equations: the Vlasov-Poisson system (2017) - L. Ambrosio - S. Honda (Submitted Paper)

Local spectral convergence in $RCD^*(K,N)$ spaces (2017) - L. Ambrosio - S. Honda - J. Portegies (Submitted Paper)

Continuity of nonlinear eigenvalues in $CD(K,\infty)$ spaces with respect to measured Gromov-Hausdorff convergence (2017) - N. Ansini - A. Braides - J. Zimmer (Accepted Paper:
*Proc. Roy. Soc. Edinburgh A*)

Minimising movements for oscillating energies: the critical regime (2017) - C. Antonucci - M. Gobbino - M. Migliorini - N. Picenni (preprint)

Optimal constants for a non-local approximation of Sobolev norms and total variation (2017) - C. Antonucci - M. Gobbino - N. Picenni (preprint)

On the gap between Gamma-limit and pointwise limit for a non-local approximation of the total variation (2017) - W. Ao - A. Jevnikar - W. Yang (Accepted Paper:
*Intern. Math. Res. Not. (IMRN)*)

On the boundary behavior for the blow up solutions of the sinh-Gordon equation and rank $N$ Toda systems in bounded domains (2017) - A. H. Ardila - M. Squassina (Accepted Paper:
*Asymptotic Analysis*)

Gausson dynamics for logarithmic Schrodinger equations (2017) - A. Arroyo-Rabasa - G. De Philippis - F. Rindler (Accepted Paper:
*Adv. Calc. Var*)

Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints (2017) - M. Artina - F. Cagnetti - M. Fornasier - F. Solombrino (
*Mathematical Models and Methods in Applied Sciences*)

Linearly Constrained Evolutions of Critical Points and an Application to Cohesive Fractures (2017) - P. Athavale - R. L. Jerrard - M. Novaga - G. Orlandi (
*Journal of Convex Analysis*)

Weighted TV minimization and applications to vortex density models (2017) - J. F. Babadjian - M. G. Mora (Submitted Paper)

Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion (2017) - A. Bach (Accepted Paper:
*ESAIM: Control Optim. Calc. Var.*)

Anisotropic free-discontinuity functionals as the $\Gamma$-limit of second-order elliptic functionals (2017) - R. Badal - M. Cicalese - L. De Luca - M. Ponsiglione (
*Commun. Math. Phys.*)

$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects (2017) - P. Baldi - G. Floridia - E. Haus (Published paper:
*Analysis & PDE*)

Exact controllability for quasilinear perturbations of KdV (2017) - P. Baldi - E. Haus - C. Mantegazza (
*Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.*)

Networks Self-Similarly Moving by Curvature with Two Triple Junctions (2017) - P. Baldi - E. Haus - C. Mantegazza (
*Geometric Flows*)

On the Classification of Networks Self-Similarly Moving by Curvature (2017) - M. Barchiesi (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Toughening by crack deflection in the homogenization of brittle composites with soft inclusions (2017) - M. Barchiesi - A. Brancolini - V. Julin (
*Ann. Probab.*)

Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality (2017) - M. Barchiesi - D. Henao - C. Mora-Corral (
*Arch. Ration. Mech. Anal.*)

Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity (2017) - M. Barchiesi - V. Julin (
*Calc. Var. Partial Differential Equations*)

Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality (2017) - E. Bardelli - A. C. G. Mennucci (
*Journal of Geometric Mechanics*)

Probability measures on infinite dimensional Stiefel manifolds (2017) - M. Bardi - M. Cirant (Accepted Paper:
*"PDE models for multi-agent phenomena", P. Cardaliaguet, A. Porretta, F. Salvarani editors, Springer INdAM Series*)

Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions (2017) - M. Bardi - M. Fischer (Accepted Paper:
*ESAIM Control Optim. Calc. Var.*)

On non-uniqueness and uniqueness of solutions in finite-horizon Mean Field Games (2017) - D. Barilari - U. Boscain - R. W. Neel (Accepted Paper:
*Annales de la Faculté des Sciences de Toulouse*)

Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group (2017) - D. Barilari - S. Ivanov (Preprint)

A Bonnet-Myers type theorem for quaternionic contact structures (2017) - D. Barilari - L. Rizzi (
*Archivum Mathematicum*)

On Jacobi fields and a canonical connection in sub-Riemannian geometry (2017) - D. Barilari - L. Rizzi (
*Communications in Contemporary Mathematics*)

Sharp measure contraction property for generalized H-type Carnot groups (2017) - P. Baroni (
*Nonlinear Analysis*)

Singular parabolic equations, measures satisfying density conditions, and gradient integrability (2017) - P. Baroni - A. Di Castro - G. Palatucci (
*Discrete Contin. Dyn. Syst. - Series S*)

Intrinsic geometry and De Giorgi classes for certain anisotropic problems (2017) - P. Baroni - T. Kuusi - C. Lindfors - J. M. Urbano (SIAM J. Math. Anal.)

Existence and boundary regularity for degenerate phase transitions (2017) - B. Barrios - A. Figalli - X. Ros-Oton (Accepted Paper:
*Comm. Pure Appl. Math.*)

Free boundary regularity in the parabolic fractional obstacle problem (2017) - B. Barrios - A. Figalli - X. Ros-Oton (Accepted Paper:
*Amer. J. Math.*)

Global regularity for the free boundary in the obstacle problem for the fractional Laplacian (2017) - A. C. Barroso - J. Matias - M. Morandotti - D. R. Owen (
*Math. Mech. Complex Syst.*)

Explicit Formulas for Relaxed Disarrangement Densities Arising from Structured Deformations (2017) - A. C. Barroso - J. Matias - M. Morandotti - D. R. Owen (
*Arch. Rational Mech. Anal.*)

Second-order structured deformations: relaxation, integral representation and applications (2017) - S. Bartels - G. Buttazzo (Submitted Paper)

Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation (2017) - D. Bartolucci - D. Castorina (Accepted Paper:
*Annali della Scuola Normale Superiore di Pisa-Classe di Scienze*)

On a singular Liouville-type equation and the Alexandrov isoperimetric inequality (2017) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*Arch. Rat. Mech. Anal.*)

Non degeneracy, Mean Field Equations and the Onsager theory of 2D turbulence (2017) - D. Bartolucci - A. Jevnikar - Y. Lee - W. Yang (Accepted Paper:
*J. Math. Pures Appl.*)

Uniqueness of bubbling solutions of mean ﬁeld equations (2017) - Y. Yu - D. Kamensky - M. C. Hsu - X. Y. Lu - Y. Bazilevs - T. J. R. Hughes (Accepted Paper:
*Math. Models Meth. Appl. Sci.*)

Error estimates for dynamic augmented Lagrangian boundary condition enforcement, with application to immersogeometric fluid–structure interaction (2017) - G. Bellettini - S. Kholmatov - M. Novaga (
*Comm. Pure Appl. Analysis*)

Minimizers of anisotropic perimeters with cylindrical norms (2017) - G. Bellettini - S. Kholmatov (Submitted Paper)

Minimizing movements for mean curvature flow of partitions (2017) - G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)

Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone (2017) - G. Bellettini - M. Paolini - F. Pasquarelli - G. Scianna (Submitted Paper)

Covers, soap films and BV functions (2017) - R. Benedetti - C. Mantegazza (
*Rivista UMI - Matematica, Cultura e Società*)

La congettura di Poincaré e il flusso di Ricci (2017) - M. Bergounioux - A. Leaci - G. Nardi - F. Tomarelli (
*Fract. Calc. Appl. Anal.*)

Fractional Sobolev Spaces and Functions of Bounded Variation of One Variable (2017) - S. Bianchini - P. Bonicatto (Submitted Paper)

A uniqueness result for the decomposition of vector fields in $\mathbb R^d$ (2017) - S. Bianchini - P. Bonicatto (Submitted Paper)

Failure of the chain rule in the non steady two-dimensional setting (2017) - S. Bianchini - P. Bonicatto - E. Marconi (Preprint)

A Lagrangian approach for scalar multidimensional conservation laws (2017) - S. Bianchini - M. Colombo - G. Crippa - L. V. Spinolo (Submitted Paper)

Optimality of integrability estimates for advection-diffusion equations (2017) - U. Bindini (Preprint)

Marginals with finite repulsive cost (2017) - U. Bindini - L. De Pascale (Accepted Paper)

Optimal transport with Coulomb cost and the Semiclassical Limit of Density Functional Theory (2017) - A. Blanchet - G. Carlier - L. Nenna (
*Vietnam Journal of Mathematics*)

Computation of Cournot-Nash equilibria by entropic regularization (2017) - T. Blass - M. Morandotti (
*J. Convex Anal.*)

Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear (2017) - P. Bochard - P. Pegon (Accepted Paper:
*Communications in PDE*)

A kinetic selection principle for curl-free vector fields of unit norm (2017) - B. Bogosel - D. Bucur - I. Fragalà (Submitted Paper)

Phase field approach to optimal packing problems and related Cheeger clusters (2017) - M. van den Berg - E. Bolthausen - F. den Hollander (Accepted Paper:
*Potential Analysis*)

Torsional rigidity for regions with a Brownian boundary (2017) - G. A. Bonaschi - P. van Meurs - M. Morandotti (
*Eur. J. Appl. Math.*)

Dynamics of screw dislocations: a generalised minimising-movements scheme approach (2017) - G. A. Bonaschi - R. Rossi (Submitted Paper)

Generation via variational convergence of Balanced Viscosity solutions to rate-independent systems (2017) - M. Bonforte - A. Figalli - J. L. Vazquez (Accepted Paper:
*Anal. PDE*)

Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains (2017) - M. Bongini - M. Fornasier - F. Rossi - F. Solombrino (
*Journal of Optimization Theory and Applications*)

Mean-field Pontryagin Maximum Principle (2017) - P. Bonicatto (Phd Thesis)

Untangling of trajectories for non-smooth vector fields and Bressan’s Compactness Conjecture (2017) - S. Borghini - G. Mascellani - L. Mazzieri (preprint)

Some Sphere Theorems in Linear Potential Theory (2017) - S. Borghini - L. Mazzieri (
*Classical and Quantum Gravity*)

On the mass of static metrics with positive cosmological constant - I (2017) - S. Borghini - L. Mazzieri (preprint)

On the mass of static metrics with positive cosmological constant - II (2017) - W. Borrelli (Published paper:
*Journal of Differential Equations*)

Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity (2017) - U. Boscain - R. Neel - L. Rizzi (
*Adv. Math.*)

Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry (2017) - G. Bouchitté - I. Fragalà - I. Lucardesi (
*Applied Mathematics & Optimization*)

Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source (2017) - D. Bourne - S. Conti - S. Müller (
*Journal of Nonlinear Science*)

Energy Bounds for a Compressed Elastic Film on a Substrate (2017) - P. Bousquet - L. Brasco - C. Leone - A. Verde (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

On the Lipschitz character of orthotropic $p-$harmonic functions (2017) - A. Braides - A. Cancedda - V. Chiadò Piat (
*ESAIM: Control Optim. Calc. Var.*)

Homogenization of metrics in oscillating manifolds (2017) - A. Braides - A. Causin - M. Solci (Preprint)

Homogenization of interacting media (2017) - A. Braides - M. Cicalese (
*Arch. Ration. Mech. Anal.*)

Interfaces, modulated phases and textures in lattice systems (2017) - A. Braides - S. Conti - A. Garroni (Accepted Paper:
*Calc. Var. Partial Diff. Equations*)

Density of polyhedral partitions (2017) - A. Braides - M. S. Gelli (
*ESAIM: M2AN*)

Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems (2017) - A. Braides - L. Kreutz (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions (2017) - A. Brancolini - C. Rossmanith - B. Wirth (
*Archive for Rational Mechanics and Analysis*)

Optimal micropatterns in 2D transport networks and their relation to image inpainting (2017) - A. Brancolini - B. Wirth (Accepted Paper:
*SIAM J. Math. Anal.*)

Optimal micropatterns in transport networks (2017) - L. Brasco - E. Cinti (Accepted Paper:
*Discrete Contin. Dyn. Syst. Ser. A*)

On fractional Hardy inequalities in convex sets (2017) - L. Brasco - G. Franzina (Accepted Paper:
*Adv. Nonlinear Anal.*)

A pathological example in Nonlinear Spectral Theory (2017) - L. Brasco - G. Franzina - B. Ruffini (
*J. Funct. Anal.*)

Schrödinger operators with negative potentials and Lane-Emden densities (2017) - L. Brasco - F. Santambrogio (Accepted Paper:
*Commun. Contemp. Math.*)

A sharp estimate à la Calderón-Zygmund for the $p-$Laplacian (2017) - L. Brasco - M. Squassina (Accepted Paper:
*J. Differential Equations*)

Optimal solvability for a nonlocal problem at critical growth (2017) - E. Bretin - S. Masnou (Accepted Paper:
*Interfaces and Free Boundaries*)

A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics (2017) - T. Buckmaster - C. De Lellis - L. J. Székelyhidi - V. Vicol (Accepted Paper:
*To appear in Comm. Pure Appl. Math.*)

Onsager's conjecture for admissible weak solutions (2017) - C. Bucur - M. Squassina (Preprint)

Asymptotic mean value properties for fractional anisotropic operators (2017) - D. Bucur - G. Buttazzo - C. Nitsch (Accepted Paper:
*Journal de Mathématiques Pures et Appliquées*)

Symmetry breaking for a problem in optimal insulation (2017) - D. Bucur - G. Buttazzo - C. Nitsch (
*Notices Amer. Math. Soc.*)

Two optimization problems in thermal insulation (2017) - D. Bucur - V. Ferone - C. Nitsch - C. Trombetti (Submitted Paper)

Weinstock inequality in higher dimensions (2017) - D. Bucur - I. Fragalà (Preprint)

On the honeycomb conjecture for Robin Laplacian eigenvalues (2017) - D. Bucur - I. Fragalà (Submitted Paper)

Proof of the honeycomb asymptotics for optimal Cheeger clusters (2017) - D. Bucur - I. Fragalà - G. Verzini - B. Velichkov (Accepted Paper:
*Trans. Amer. Math. Soc.*)

On the honeycomb conjecture for a class of minimal convex partitions (2017) - D. Bucur - A. Giacomini (Preprint)

Minimization of the k-th eigenvalue of the Robin-Laplacian (2017) - D. Bucur - A. Giacomini - P. Trebeschi (Submitted Paper)

Best constant in Poincaré inequalities with traces: a free discontinuity approach (2017) - D. Bucur - A. Henrot (Accepted Paper:
*JEMS*)

A new isoperimetric inequality for the elasticae (2017) - V. Buffa (Ph.D. Thesis)

BV Functions in Metric Measure Spaces: Traces and Integration by Parts Formulæ (2017) - G. Buttazzo - G. Cardone - S. Nazarov (Submitted Paper)

Thin elastic plates supported over small areas II. Variational-asymptotic models. (2017) - G. Buttazzo - G. Carlier - M. Laborde (Submitted Paper)

On the Wasserstein distance between mutually singular measures (2017) - G. Buttazzo - S. Guarino Lo Bianco - M. Marini (Accepted Paper:
*Journal of Mathematical Analysis and Applications*)

Sharp estimates for the anisotropic torsional rigidity and the principal frequency (2017) - G. Buttazzo - F. Maestre - B. Velichkov (Submitted Paper)

Optimal potentials for problems with changing sign data (2017) - G. Buttazzo - B. Velichkov (Accepted Paper:
*SIAM J. Math. Anal.*)

A shape optimal control problem and its probabilistic counterpart (2017) - G. Buttazzo - B. Velichkov (Book Chapter)

Spectral optimization problems for Schrödinger operators (2017) - R. Buzano - R. Haslhofer - O. Hershkovits (preprint)

The moduli space of two-convex embedded tori (2017) - R. Buzano - H. T. Nguyen (preprint)

The higher-dimensional Chern-Gauss-Bonnet formula for singular conformally flat manifolds (2017) - X. Cabré - E. Cinti - J. Serra (Preprint)

Stable $s$-minimal cones in $\mathbb R^3$ are flat for $s\sim 1$ (2017) - L. Caffarelli - F. Cagnetti - A. Figalli (Submitted Paper)

Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive zone models (2017) - F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Submitted Paper)

Stochastic Homogenisation of Free-Discontinuity Problems (2017) - J. Calvo - M. Novaga - G. Orlandi (
*J. Evol. Eqs.*)

Parabolic equations in time dependent domains (2017) - P. Cannarsa - G. Floridia - A. Y. Khapalov (Published paper:
*Journal de Mathématiques Pures et Appliquées*)

Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign (2017) - M. Caponi (
*Milan J. Math.*)

Linear Hyperbolic Systems in Domains with Growing Cracks (2017) - M. Carioni (Accepted Paper:
*Journal of Convex Analysis*)

A convex decomposition formula for the Mumford-Shah functional in dimension one (2017) - M. Carioni (Phd Thesis)

Existence of calibrations for the Mumford-Shah functional and the reinitialization of the distance function in the framework of Chan and Vese algorithms (2017) - M. Carioni (Preprint)

Long time behaviour for the reinitialization of the distance function (2017) - M. Carioni - A. Pluda (Preprint)

Calibrations for minimal networks in a covering space setting (2017) - M. Caroccia - S. Littig (Submitted Paper)

The Cheeger N-problem in terms of BV functions (2017) - J. A. Carrillo - J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Submitted Paper)

The ellipse law: Kirchhoff meets dislocations (2017) - J. A. Carrillo - F. Santambrogio (Accepted Paper:
*Quarterly of Applied Mathematics*)

$L^\infty$ estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems (2017) - D. Castorina - C. Mantegazza (
*Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.*)

Ancient Solutions of Semilinear Heat Equations on Riemannian Manifolds (2017) - D. Castorina - C. Mantegazza (Submitted Paper)

Ancient solutions of superlinear heat equations on Riemannian manifolds (2017) - G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (
*Pacific J. Math.*)

The Ricci-Bourguignon Flow (2017) - G. Catino - P. Mastrolia (Submitted Paper)

A potential generalization of some canonical Riemannian metrics (2017) - G. Catino - P. Mastrolia - D. D. Monticelli (
*J. Math. Pures Appl.*)

Gradient Ricci solitons with vanishing conditions on Weyl (2017) - G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (
*Pac. J. Math.*)

On the geometry of gradient Einstein-type manifolds (2017) - F. Cavalletti - F. Maggi - A. Mondino (Accepted Paper:
*Comm. Pure and Applied Math.*)

Quantitative isoperimetry à la Levy-Gromov (2017) - F. Cavalletti - A. Mondino (Accepted Paper:
*Intern. Math. Res. Not.*)

Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds (2017) - A. Cesaroni - M. Cirant (Accepted Paper:
*Anal. PDE*)

Concentration of ground states in stationary Mean-Field Games systems (2017) - A. Cesaroni - M. Cirant - S. Dipierro - M. Novaga - E. Valdinoci (Accepted Paper:
*J. Math. Pures Appl.*)

On stationary fractional Mean Field Games (2017) - A. Cesaroni - N. Dirr - M. Novaga (
*J. Éc. polytech. Math.*)

Homogenization of a semilinear heat equation (2017) - A. Cesaroni - M. Novaga (
*Geometric Flows*)

Isoperimetric problems for a nonlocal perimeter of Minkowski type (2017) - A. Cesaroni - M. Novaga (
*Discrete Contin. Dyn. Syst. S*)

Volume constrained minimizers of the fractional perimeter with a potential energy (2017) - A. Chambolle - S. Conti - F. Iurlano (Preprint)

Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy (2017) - A. Chambolle - V. Crismale (preprint)

A density result in $GSBD^p$ with applications to the approximation of brittle fracture energies (2017) - A. Chambolle - L. Ferrari - B. Merlet (Advances in Calculus of Variations:
*Advances in Calculus of Variations*)

A phase-field approximation for the Steiner problem in dimension two (2017) - A. Chambolle - L. A. D. Ferrari - B. Merlet (preprint)

Variational approximation of size-mass energies for k-dimensional currents (2017) - A. Chambolle - L. A. D. Ferrari - B. Merlet (preprint)

Variational approximation of size-mass energies for k-dimensional currents (2017) - A. Chambolle - J. Lamboley - A. Lemenant - E. Stepanov (
*SIAM J. Math. Anal.*)

Regularity for the optimal compliance problem with length penalization (2017) - A. Chambolle - M. Morini - M. Novaga - M. Ponsiglione (Submitted Paper)

Existence and uniqueness for anisotropic and crystalline mean curvature flows (2017) - A. Chambolle - M. Novaga - B. Ruffini (
*Interfaces Free Bound.*)

Some results on anisotropic fractional mean curvature flows (2017) - S. Chen - A. Figalli (Accepted Paper:
*J. Funct. Anal.*)

Partial $W^{2,p}$ regularity for optimal transport maps (2017) - L. Chizat - S. Di Marino (Preprint)

A tumor growth model of Hele-Shaw type as a gradient flow (2017) - M. Cicalese - N. Fusco (Submitted Paper)

A note on relaxation with constraints on the determinant (2017) - M. Cicalese - G. P. Leonardi - F. Maggi (Submitted Paper:
*Interfaces and Free Boundaries*)

Sharp stability inequalities for planar double bubbles (2017) - M. Cicalese - M. Ruf - F. Solombrino (
*Zeitschrift für Angewandte Mathematik und Physik (ZAMP)*)

Hemihelical local minimizers in prestrained elastic bi-strips (2017) - M. Cicalese - M. Ruf - F. Solombrino (
*Calc. Var Pdes*)

On global and local minimizers of prestrained thin elastic rods (2017) - E. Cinti (Accepted Paper:
*DCDS-S*)

Saddle-shaped solutions for the fractional Allen-Cahn equation (2017) - E. Cinti - P. Miraglio - E. Valdinoci (Submitted Paper)

One-dimensional symmetry for the solutions of a three-dimensional water wave problem (2017) - G. Ciraolo - A. Figalli - F. Maggi (Accepted Paper:
*Int. Math. Res. Not. IMRN*)

A quantitative analysis of metrics on $\mathbb R^n$ with almost constant positive scalar curvature, with applications to fast diffusion flows (2017) - M. Colombo - G. Crippa - L. V. Spinolo (Preprint)

On the singular local limit for conservation laws with nonlocal fluxes (2017) - M. Colombo - C. De Lellis - L. De Rosa (Accepted Paper:
*To appear in Comm. Math. Phys.*)

Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations (2017) - M. Colombo - C. De Lellis - A. Massaccesi (Preprint)

The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system (2017) - M. Colombo - A. De Rosa - A. Marchese (
*Calc. Var. Partial Differential Equations*)

Improved stability of optimal traffic paths (2017) - M. Colombo - A. De Rosa - A. Marchese - S. Stuvard (
*Nonlinear Analysis*)

On the lower semicontinuous envelope of functionals defined on polyhedral chains (2017) - M. Colombo - N. Edelen - L. Spolaor (Preprint)

The singular set of minimal surfaces near polyhedral cones (2017) - M. Colombo - A. Figalli - Y. Jhaveri (Accepted Paper:
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

Lipschitz changes of variables between perturbations of log-concave measures (2017) - M. Colombo - L. Spolaor (Accepted Paper:
*CAG*)

Quantitative estimate on singularities in isoperimetric clusters (2017) - M. Colombo - L. Spolaor - B. Velichkov (Accepted Paper:
*Geom. Funct. Anal.*)

A logarithmic epiperimetric inequality for the obstacle problem (2017) - M. Colombo - L. Spolaor - B. Velichkov (Submitted Paper)

Direct epiperimetric inequalities for the thin obstacle problem and applications (2017) - M. Colturato (
*Applied Mathematics & Optimization*)

On a class of conserved phase field systems with a maximal monotone perturbation (2017) - G. E. Comi - K. R. Payne (
*Adv. Calc. Var.*)

On locally essentially bounded divergence measure fields and sets of locally finite perimeter (2017) - G. E. Comi - M. Torres (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

One-sided approximation of sets of finite perimeter (2017) - S. Conti - M. Focardi - F. Iurlano (Accepted Paper:
*ESAIM COCV*)

Approximation of fracture energies with $p$-growth via piecewise affine finite elements (2017) - S. Conti - M. Goldman - F. Otto - S. Serfaty (Accepted Paper:
*J. Ecole Polytechnique*)

A branched transport limit of the Ginzburg-Landau functional (2017) - S. Costea (preprint)

Sobolev-Lorentz capacity and its regularity in the Euclidean setting (2017) - S. Costea (Preprint:
*Nonlinear Analysis*)

Sobolev-Lorentz spaces in the Euclidean setting and counterexamples (2017) - G. Crasta - V. De Cicco (Submitted Paper)

Anzellotti's pairing theory and the Gauss-Green theorem (2017) - G. Crasta - V. De Cicco (Accepted Paper:
*Nonlinear Analysis*)

On the chain rule formulas for divergences and applications to conservation laws (2017) - V. Crismale - G. Lazzaroni (
*NoDEA Nonlinear Differential Equations Appl.*)

Quasistatic crack growth based on viscous approximation: a model with branching and kinking (2017) - V. Crismale - G. Orlando (Accepted Paper:
*NoDEA Nonlinear Differential Equations Appl.*)

A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in $W^{1,n}$ (2017) - G. Cupini - F. Giannetti - R. Giova - A. Passarelli di Napoli (Submitted Paper)

Regularity results for vectorial minimizers of a class of degenerate convex integrals (2017) - G. Dal Maso - I. Lucardesi (
*Appl. Math. Res. Express. AMRX*)

The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data (2017) - G. Dal Maso - M. Morandotti (
*Nonlinear Anal.*)

A model for the quasistatic growth of cracks with fractional dimension (2017) - G. Dal Maso - G. Orlando - R. Toader (
*Adv. Cal. Var.*)

Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation (2017) - A. Dall'Acqua - M. Novaga - A. Pluda (Accepted Paper:
*Indiana Univ. Math. J.*)

Minimal elastic networks (2017) - A. Dall'Acqua - A. Pluda (
*Geom. flows*)

Some minimization problems for planar networks of elastic curves (2017) - S. Daneri - E. Runa (Submitted Paper)

Exact periodic stripes for minimizers for a local/nonlocal interaction functional in general dimension (2017) - N. A. Dao - Q. H. Nguyen (
*Comptes Rendus Mathematique*)

Nonstationary Navier–Stokes equations with singular time-dependent external forces (2017) - E. Davoli - I. Fonseca (Submitted Paper)

Relaxation of p-growth integral functionals under space-dependent differential constraints (2017) - E. Davoli - P. Liu (Accepted Paper:
*Communications in Mathematical Sciences*)

One dimensional fractional order TGV: Gamma-convergence and bi-level training scheme (2017) - V. De Cicco - D. Giachetti - F. Oliva - F. Petitta (Preprint)

Dirichlet problems for singular elliptic equations with general nonlinearities (2017) - C. De Lellis - F. Ghiraldin - F. Maggi (
*JEMS*)

A direct approach to Plateau's problem (2017) - C. De Lellis - D. Inauen (
*Comm. Partial Differential Equations*)

Fractional Sobolev regularity for the Brouwer degree (2017) - C. De Lellis - E. Spadaro - L. Spolaor (
*Ann. PDE*)

Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold (2017) - C. De Lellis - E. Spadaro - L. Spolaor (Accepted Paper:
*JDG*)

Regularity theory for $2$-dimensional almost minimal currents III: blowup (2017) - C. De Lellis - E. Spadaro - L. Spolaor (
*Comm. Pure Appl. Math.*)

Uniqueness of tangent cones for $2$-dimensional almost minimizing currents (2017) - C. De Lellis - L. J. Székelyhidi (
*Bull. Amer. Math. Soc. (N.S.)*)

High dimensionality and h-principle in PDE (2017) - C. De Lellis - L. J. Székelyhidi (Accepted Paper)

John Nash's nonlinear iteration (2017) - L. De Luca - G. Friesecke (
*J. Stat. Phys.*)

Classification of particle numbers with unique Heitmann-Radin minimizer (2017) - L. De Luca - G. Friesecke (
*J. Nonlinear Sci.*)

Crystallization in two dimensions and a discrete Gauss-Bonnet theorem (2017) - L. De Luca - M. Ponsiglione (Preprint)

Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles (2017) - L. De Pascale - J. Louet (Submitted Paper)

A study of the dual problem of the one-dimensional $L^\infty$-optimal transport problem with applications (2017) - G. De Philippis - A. De Rosa - F. Ghiraldin (Preprint)

Existence results for minimizers of parametric elliptic functionals (2017) - G. De Philippis - N. Fusco - A. Pratelli (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

On the approximation of SBV functions (2017) - G. De Philippis - N. Gigli (Preprint)

Non-collapsed spaces with Ricci curvature bounded from below (2017) - G. De Philippis - A. Pratelli (Preprint)

The closure of planar diffeomorphisms in Sobolev spaces (2017) - G. De Philippis - F. Rindler (Proceedings)

On the structure of measures constrained by linear PDEs (2017) - N. De Ponti (preprint)

A concentration result on submanifolds of compact positively curved homogeneous spaces (2017) - A. De Rosa - S. Gioffrè (
*J. Geom. Anal.*)

Quantitative stability for anisotropic nearly umbilical hypersurfaces (2017) - M. Degiovanni - A. Pluda (
*Springer INdAM series*)

Nontrivial solutions of quasilinear elliptic equations with natural growth conditions (2017) - M. Delgadino - F. Maggi (Preprint)

Alexandrov's theorem revisited (2017) - M. Delgadino - F. Maggi - C. Mihaila - R. Neumayer (Preprint)

Bubbling with $L^2$-almost constant mean curvature and an Alexandrov-type theorem for crystals (2017) - M. Seidl - S. Di Marino - A. Gerolin - L. Nenna - K. Giesbertz - P. Gori-Giorgi (Submitted Paper)

The strictly-correlated electron functional for spherically symmetric systems revisited (2017) - S. Di Marino - A. Gerolin - L. Nenna (
*Topological Optimization and Optimal Transport In the Applied Sciences*)

Optimal transportation theory for repulsive costs (2017) - D. Evangelista - R. Ferreira - Diogo A. Gomes - L. Nurbekyan - V. Voskanyan (preprint)

First-order, stationary mean-field games with congestion (2017) - S. Dipierro - F. Maggi - E. Valdinoci (Preprint:
*J. Nonlinear Science*)

Asymptotic expansions of the contact angle in nonlocal capillarity problems (2017) - S. Dipierro - M. Novaga - E. Valdinoci (Accepted Paper:
*J. London Math. Soc.*)

On a Minkowski geometric flow in the plane (2017) - S. Dipierro - M. Novaga - E. Valdinoci (
*Nonlinearity*)

Rigidity of critical points for a nonlocal Ohta-Kawasaki energy (2017) - S. Dipierro - A. Pinamonti - E. Valdinoci (Accepted Paper:
*Advances in Nonlinear Analysis*)

Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature (2017) - S. Dipierro - A. Pinamonti - E. Valdinoci (Accepted Paper:
*IMRN*)

Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions (2017) - N. Dirr - F. Dragoni - P. Mannucci - C. Marchi (Submitted Paper)

Stochastic homogenization for functionals with anisotropic rescaling and non-coercive Hamilton-Jacobi equations (2017) - P. Dondl - S. Wojtowytsch (preprint)

On the Boundary Regularity of Phase-Fields for Willmore's Energy (2017) - P. W. Dondl - Matthias W. Kurzke - S. Wojtowytsch (preprint)

The Effect of Forest Dislocations on the Evolution of a Phase-Field Model for Plastic Slip (2017) - F. Dragoni - E. Feleqi (Submitted Paper)

Ergodic Mean Field Games with Hoermander diffusions (2017) - E. Durand-Cartagena - X. Li (
*Ann. Ac. Sci. Fen. Math*)

Preservation of bounded geometry under sphericalization and flattening: quasiconvexity and $\infty$-Poincaré inequality (2017) - S. Dweik (Accepted Paper: Journal de mathématiques pures et appliquées)

Lack of regularity of the transport density in the Monge problem (2017) - S. Dweik - F. Santambrogio (Accepted Paper: COCV)

Summability estimates on transport densities with Dirichlet regions on the boundary via symmetrization techniques (2017) - C. Geldhauser - A. Eckrot - J. Jurczyk (Preprint)

The storage location assignment problem in a multi-level warehouse under correlated batched orders (2017) - Enrique G. Alvarado - Kevin R. Vixie (preprint)

A Lower Bound for the Reach of Flat Norm Minimizers (2017) - A. Farina - B. Sciunzi - N. Soave (Submitted Paper)

Monotonicity and rigidity of solutions to some elliptic systems with uniform limits (2017) - R. Ferreira - I. Fonseca - L. Mascarenhas (Accepted:
*Calc. Var. Partial Differential Equations*)

A chromaticity-brightness model for color images denoising in a Meyer's "u + v'' framework (2017) - R. Ferreira - E. Zappale (preprint)

Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity (2017) - A. Figalli - D. Jerison (Accepted Paper:
*Adv. Math.*)

Quantitative stability for the Brunn-Minkowski inequality (2017) - A. Figalli - M. J. Kang - J. Morales (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow (2017) - A. Figalli - B. Krummel - X. Ros-Oton (Accepted Paper:
*J. Differential Equations*)

On the regularity of the free boundary in the p-Laplacian obstacle problem (2017) - A. Figalli - C. Mooney (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

An obstacle problem for conical deformations of thin elastic sheets (2017) - A. Fiscella - A. Pinamonti - E. Vecchi (Accepted Paper:
*Journal of Differential Equations*)

Multiplicity results for magnetic fractional problems (2017) - F. Fleißner (Submitted Paper)

Minimal solutions to generalized $\Lambda$-semiflows and gradient flows in metric spaces (2017) - F. Fleißner - G. Savaré (Submitted Paper)

Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi (2017) - G. Floridia - C. Nitsch - C. Trombetti (preprint)

Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states (2017) - M. Focardi - E. Spadaro (Accepted Paper:
*ARMA*)

On the measure and the structure of the free boundary of the lower dimensional obstacle problem (2017) - M. Fogagnolo - R. Monti - D. Vittone (
*Ann. Ac. Sci. Fennicae*)

Variation formulas for H-rectifiable sets (2017) - V. Franceschi (
*Calc. Var. Partial Differential Equations*)

A minimal partition problem with trace constraint in the Grushin plane (2017) - V. Franceschi - D. Prandi - L. Rizzi (Submitted Paper)

On the essential self-adjointness of sub-Laplacians (2017) - V. Franceschi - G. Stefani (Submitted Paper)

Symmetric double bubbles in the Grushin plane (2017) - G. A. Francfort - A. Giacomini - O. Lopez-Pamies (Submitted Paper)

A first step towards a variational view of cavitation (2017) - G. A. Francfort - M. G. Mora (Submitted Paper)

Quasistatic evolution in non-associative plasticity revisited (2017) - L. Freddi - P. Hornung - M. G. Mora - R. Paroni (Submitted Paper)

One-dimensional von Kármán models for elastic ribbons (2017) - G. G. Giusteri - L. Lussardi - E. Fried (
*J. Nonlinear Sci.*)

Solution of the Kirchhoff-Plateau problem (2017) - G. Fusco - G. F. Gronchi - M. Novaga (
*J. Differential Eqs.*)

On the existence of connecting orbits for critical values of the energy (2017) - N. Fusco - V. Julin - M. Morini (Submitted Paper)

The surface diffusion flow with elasticity in the plane (2017) - N. Fusco - D. Pallara (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

On the isoperimetric profile for a mixed Euclidean-Log-convex measure (2017) - N. Fusco - D. Spector (Preprint)

A Remark on an Integral Characterization of the Dual of BV (2017) - F. Galaz-Garcia - M. Kell - A. Mondino - G. Sosa (Accepted Paper:
*Journal of Functional Analysis*)

On quotients of spaces with Ricci curvature bounded below (2017) - Y. Gao - J. G. Liu - X. Y. Lu (Accepted Paper:
*ESAIM: COCV*)

Gradient flow approach to an exponential thin film equation: global existence and latent singularity (2017) - Y. Gao - J. G. Liu - X. Y. Lu - X. Xu (Accepted Paper:
*CVPDE*)

Maximal monotone operator in non-reflexive Banach space and the application to thin film equation in epitaxial growth on vicinal surface (2017) - C. J. Garcia-Cervera - T. Giorgi - S. Joo - X. Y. Lu (Accepted Paper:
*SIAM J. Math. Anal.*)

Switching mechanism in the B_{1RevTilted} phase of bent-core liquid crystals (2017) - H. Garcke - J. Menzel - A. Pluda (Accepted Paper:
*J. Differential Equations*)

Willmore flow of planar networks (2017) - C. Geldhauser - E. Valdinoci (Preprint)

Optimizing the fractional power in a model with stochastic PDE constraints (2017) - F. Geraci (Preprint)

An epiperimetric inequality for the lower dimensional obstacle problem (2017) - F. Geraci (Accepted Paper:
*Annali di Matematica Pura ed Applicata*)

The Classical Obstacle problem with coefficients in fractional Sobolev spaces (2017) - M. Ghisi - M. Gobbino - G. Rovellini (preprint)

Symmetry-breaking in a generalized Wirtinger inequality (2017) - L. Giacomelli - S. Moll - F. Petitta (Submitted Paper:
*Comm. Partial Differential Equations*)

Optimal waiting time bounds for flux-saturated diffusion equations (2017) - Giacomo De Palma - D. Trevisan - V. Giovannetti (preprint)

Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian channels (2017) - Giacomo De Palma - D. Trevisan (preprint)

The Entropy Power Inequality with quantum memory (2017) - N. Gigli (Preprint)

Lecture notes on differential calculus on RCD spaces (2017) - N. Gigli - C. Rigoni (Preprint)

A note about the strong maximum principle on $RCD$ spaces (2017) - N. Gigli - C. Rigoni (Submitted Paper)

Recognizing the flat torus among $RCD^*(0,N)$ spaces via the study of the first cohomology group (2017) - N. Gigli - L. Tamanini (Proceedings)

Second order differentiation formula on $RCD(K,N)$ spaces (2017) - N. Gigli - L. Tamanini (Submitted Paper)

Second order differentiation formula on compact $RCD^*(K,N)$ spaces (2017) - M. van den Berg - K. Gittins (
*Mathematika*)

Minimising Dirichlet eigenvalues on cuboids of unit measure (2017) - M. van den Berg - K. Gittins (
*Journal of Spectral Theory*)

On the number of Courant-sharp Dirichlet eigenvalues (2017) - M. Goldman - B. Merlet - V. Millot (Submitted Paper)

A Ginzburg-Landau model with topologically induced free discontinuities (2017) - M. Goldman - F. Otto (Submitted Paper)

A variational proof of partial regularity for optimal transportation maps (2017) - M. Goldman - F. Otto (Unpublished paper)

A variational proof of partial regularity for optimal transportation maps between sets (2017) - M. Goldman - B. Ruffini (Accepted:
*Geometric flows*)

Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review (2017) - J. Goodman - D. Spector (Preprint)

Some remarks on boundary operators of Bessel extensions (2017) - P. J. Graber - A. R. Mészáros (Accepted Paper:
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Sobolev regularity for first order Mean Field Games (2017) - C. Gui - A. Jevnikar - A. Moradifam (Comm. PDEs)

Symmetry and uniqueness of solutions to some Liouville-type equations and systems (2017) - D. Guidetti - B. Güneysu - D. Pallara (
*Ann. Acad. Sci. Fenn. Math.*)

$L^1$-elliptic regularity and $H=W$ on the whole $L^p$-scale on arbitrary manifolds (2017) - B. Han (Accepted Paper:
*The Journal of Geometric Analysis*)

Ricci tensor on ${\rm RCD}^*(K, N)$ spaces (2017) - B. Han (Preprint)

Characterizations of monotonicity of vector fields on metric measure space (2017) - B. Han (Submitted Paper)

Ricci tensor on smooth metric measure space with boundary (2017) - B. Han (preprint)

Self-improvement of gradient estimate of heat flows on metric measure spaces (2017) - B. Han - A. Mondino (
*Analysis and Geometry in Metric Spaces*)

Angles between curves in metric measure spaces (2017) - H. Hanke - D. Knees (
*Asymptotic Analysis*)

A phase-field damage model based on evolving microstructure (2017) - A. Henrot - I. Lucardesi - G. Philippin (Accepted Paper:
*ESAIM: COCV*)

On two functionals involving the maximum of the torsion function (2017) - F. Hernandez (preprint)

Properties of a Hilbertian Norm for Perimeter (2017) - J. Hirsch - S. Stuvard - D. Valtorta (Accepted Paper:
*Transactions of the American Mathematical Society*)

Rectifiability of the singular set of multiple valued energy minimizing harmonic maps (2017) - T. Hudson - M. Morandotti (
*SIAM J. Appl. Math*)

Properties of screw dislocation dynamics: time estimates on boundary and interior collisions (2017) - M. Huesmann - D. Trevisan (preprint)

A Benamou--Brenier formulation of martingale optimal transport (2017) - D. Inauen - A. Marchese (
*J. Funct. Anal.*)

Quantitative minimality of strictly stable minimal submanifolds in a small flat neighbourhood (2017) - A. Jevnikar (Accepted Paper:
*J. Diff. Eq.*)

Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities (2017) - Y. Jhaveri - R. Neumayer (Accepted Paper:
*Adv. Math.*)

Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian (2017) - C. Jimenez - M. Quincampoix (Accepted Paper:
*JMAA*)

Hamilton Jacobi Isaacs equations for Differential Games with asymmetric information on probabilistic initial condition (2017) - M. Kimura - P. van Meurs (preprint)

Precise characterisation of the minimiser of interaction energies (2017) - D. Knees (preprint)

Convergence analysis of time-discretisation schemes for rate-independent systems (2017) - M. Negri - D. Knees (
*Mathematical Models and Methods in Applied Sciences (M3AS)*)

Convergence of alternate minimization schemes for phase field fracture and damage (2017) - D. Knees - R. Rossi - C. Zanini (Submitted Paper)

Balanced Viscosity solutions to a rate-independent system for damage (2017) - R. Korte - P. Lahti - X. Li - N. Shanmugalingam (Accepted Paper:
*Revista Mat. Iberoamericana*)

Notions of Dirichlet problem for functions of least gradient in metric measure spaces (2017) - J. Korvenpaa - T. Kuusi - G. Palatucci (
*Math. Ann.*)

Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations (2017) - B. Krummel - F. Maggi (Submitted Paper:
*Calc. Var. PDE*)

Isoperimetry with upper mean curvature bounds and sharp stability estimates (2017) - S. Kryzhevich - E. Stepanov (Preprint)

The saga of a fish: from a survival guide to closing lemmas (2017) - D. A. La Manna (Accepted Paper:
*Advances in Calculus of Variations*)

Local minimality of the ball for the Gaussian perimeter (2017) - H. Lavenant (Submitted Paper)

Harmonic mappings valued in the Wasserstein space (2017) - H. Lavenant (Accepted Paper:
*Calculus of Variations and Partial Differential Equations*)

Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation (2017) - H. Lavenant - F. Santambrogio (Submitted Paper)

Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games (2017) - G. Lazzaroni - L. Nardini (Preprint SISSA 56/2017/MATE)

On the 1d wave equation in time-dependent domains and the problem of debond initiation (2017) - G. Lazzaroni - M. Palombaro - A. Schlömerkemper (
*Discrete Contin. Dyn. Syst. Ser. S*)

Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires (2017) - E. Le Donne - A. Pinamonti - G. Speight (Accepted Paper: J. Math. Pures Appl.)

Universal differentiability sets and maximal directional derivatives in Carnot groups (2017) - A. Lemenant - H. Mikayelyan (Preprint)

Stationarity of the crack-front for the Mumford-Shah problem in 3D (2017) - G. P. Leonardi - R. Neumayer - G. Saracco (
*Calc. Var. Partial Differential Equations*)

The Cheeger constant of a Jordan domain without necks (2017) - G. P. Leonardi - G. Saracco (Submitted Paper)

Rigidity and trace properties of divergence-measure vector fields (2017) - G. Leoni (Lecture Notes:
*AMS Graduate Studies in Mathematics*)

A First Course in Sobolev Spaces: Second Edition (2017) - G. Leoni - R. Murray (Submitted Paper)

A Note Regarding Second-Order $\Gamma$-limits for the Cahn--Hilliard Functional (2017) - A. Lerario - L. Rizzi (
*Journal of symplectic geometry*)

How many geodesics join two points on a contact sub-Riemannian manifold? (2017) - S. Lisini - E. Mainini - A. Segatti (
*Arch. Ration. Mech. Anal.*)

A gradient flow approach to the porous medium equation with fractional pressure (2017) - X. Y. Lu (Accepted Paper:
*Commun. Math. Sci.*)

Analytical validation of a 2+1 dimensional continuum model for epitaxial growth with elastic substrate (2017) - L. Lussardi - E. Mascolo (
*J. Math. Anal. Appl.*)

A uniqueness result for a class of non strictly convex variational problems (2017) - F. Maggi - R. Neumayer (Submitted Paper:
*Journal of Functional Analysis*)

A bridge between Sobolev and Escobar inequalities and beyond (2017) - F. Maggi - E. Valdinoci (Preprint:
*Comm. PDE*)

Capillarity problems with nonlocal surface tension energies (2017) - G. B. Maggiani - M. G. Mora (Accepted Paper:
*Annali di Matematica Pura e Applicata*)

Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation (2017) - V. Magnani (
*Indiana Univ. Math. J.*)

A new differentiation, shape of the unit ball and perimeter measure (2017) - V. Magnani (
*Ann. Acad. Sci. Fenn. Math.*)

Some remarks on densities in the Heisenberg group (2017) - V. Magnani - A. Zapadinskaya (
*Selecta Math. (N.S.)*)

A Gromov's dimension comparison estimate for rectifiable sets (2017) - E. Mainini - H. Murakawa - P. Piovano - U. Stefanelli (
*Multiscale Model. Simul.*)

Carbon-nanotube geometries as optimal configurations (2017) - E. Mainini - H. Murakawa - P. Piovano - U. Stefanelli (
*Discrete Contin. Dyn. Syst.-Series S*)

Carbon-nanotube geometries: analytical and numerical results (2017) - A. Malchiodi - R. Mandel - M. Rizzi (Preprint)

Periodic solutions to the Cahn-Hilliard equation in the plane (2017) - C. Mantegazza - S. Mongodi - M. Rimoldi (
*Geometric Flows*)

The Cotton Tensor and the Ricci Flow (2017) - C. Mantegazza - M. Novaga - A. Pluda (
*Geometric Flows*)

Motion by Curvature of Networks with Two Triple Junctions (2017) - R. March - G. Riey (
*Inverse Problems and Imaging*)

Analysis of a variational model for motion compensated inpainting (2017) - A. Marchese (Preprint)

On the structure of singular measures in the Euclidean space (2017) - A. Marchese (Accepted Paper:
*Proc. Roy. Soc. Edinburgh Sect. A*)

Residually many BV homeomorphisms map a null set in a set of full measure (2017) - A. Marchese - A. Massaccesi - R. Tione (Preprint)

A multi-material transport problem and its convex relaxation via rectifiable G-currents (2017) - E. Marconi (Preprint)

Regularity estimates for scalar conservation laws in one space dimension (2017) - B. Martelli - M. Novaga - A. Pluda - S. Riolo (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

Spines of minimal length (2017) - A. Massaccesi - E. Valdinoci (
*Journal of Mathematical Biology*)

Is a nonlocal diffusion strategy convenient for biological populations in competition? (2017) - J. Matias - M. Morandotti - E. Zappale (
*J. Math. Anal. Appl.*)

Optimal design of fractured media with prescribed macroscopic strain (2017) - D. Mazzoleni - A. Pratelli (Submitted Paper)

Some estimates for the higher eigenvalues of sets close to the ball (2017) - D. Mazzoleni - S. Terracini - B. Velichkov (
*Geom. Funct. Anal.*)

Regularity of the optimal sets for some spectral functionals (2017) - D. Mazzoleni - D. Zucco (
*ESAIM: COCV*)

Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets (2017) - S. Modena (Accepted Paper:
*Nonlinear Differential Equations and Applications*)

A "forward-in-time" quadratic potential for systems of conservation laws (2017) - S. Modena - L. J. Székelyhidi (Preprint)

Non-uniqueness for the transport equation with Sobolev vector fields (2017) - A. Monteil - J. Van Schaftingen (preprint)

Uniform boundedness principles for Sobolev maps into manifolds (2017) - R. Monti - A. Pigati - D. Vittone (Preprint)

On tangent cones to length minimizers in Carnot-Carathéodory spaces (2017) - R. Monti - G. Stefani (
*Journal de Mathématiques Pures et Appliquées*)

Improved Lipschitz Approximation of $H$-perimeter minimizing boundaries (2017) - M. G. Mora - M. Peletier - L. Scardia (
*SIAM J. Math. Anal.*)

Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement (2017) - M. Morini - V. Slastikov (Accepted Paper:
*J. Nonlinear Science*)

Reduced models for ferromagnetic thin films with periodic surface roughness (2017) - D. Mucci (Submitted Paper)

On the curvature energy of Cartesian surfaces (2017) - D. Mucci - L. Nicolodi (
*J. Nonlinear Sci.*)

On the Landau-de Gennes elastic energy of a Q-tensor model for soft biaxial nematics (2017) - S. Mukherjee - X. Zhong (preprint)

$C^{1,α}$-Regularity for variational problems in the Heisenberg group (2017) - A. R. Mészáros - F. J. Silva (Accepted Paper:
*SIAM J. Math. Anal.*)

On the variational formulation of some stationary second order mean field games systems (2017) - L. Nardini (
*Journal of Dynamics and Differential Equations*)

A note on the convergence of singularly perturbed second order potential-type equations (2017) - S. Nardulli (Accepted Paper:
*Bulletin of the Brazilian Mathematical Society*)

Regularity of isoperimetric regions that are close to a smooth manifold (2017) - M. Negri (
*Appl. Math. Optim.*)

A simple derivation and classical representations of energy variations for curved cracks (2017) - H. M. Nguyen - Q. H. Nguyen (
*Calculus of Variations and Partial Differential Equations*)

Discreteness of interior transmission eigenvalues revisited (2017) - H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Advances in Nonlinear Analysis)

New characterizations of magnetic Sobolev spaces (2017) - H. M. Nguyen - A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper:
*Complex Variables and Elliptic Equations.*)

Some characterizations of magnetic Sobolev spaces (2017) - H. M. Nguyen - M. Squassina (Preprint)

Logarithmic Sobolev inequality revisited (2017) - H. M. Nguyen - M. Squassina (Preprint)

On anisotropic Sobolev spaces (2017) - H. M. Nguyen - M. Squassina (Submitted Paper)

Some remarks on rearrangement for nonlocal functionals (2017) - Q. H. Nguyen (Submitted Paper)

Gradient estimates for singular quasilinear elliptic equations with measure data (2017) - Q. H. Nguyen (Submitted Paper)

Gradient weighted norm inequalities for very weak solutions of linear parabolic equations with BMO coefficients (2017) - M. F. Véron - Q. H. Nguyen - L. Véron (Submitted Paper)

Quasilinear and Hessian Lane-Emden type systems with measure data (2017) - M. Novaga - S. Okabe (
*J. Reine Angew. Math.*)

Convergence to equilibrium of gradient flows defined on planar curves (2017) - A. Ottazzi - D. Vittone (Accepted Paper:
*ESAIM Control Optim. Calc. Var.*)

On the codimension of the abnormal set in step two Carnot groups (2017) - D. Pagliardini (Submitted Paper)

Minimality via second variation for a functional involving fractional perimeter (2017) - D. Pagliardini (Submitted Paper)

Minimizers for a fractional Allen-Cahn equation in a periodic medium (2017) - E. Paolini (
*Matematica, cultura e società*)

Dehn e Banach-Tarski: opposti paradossi (2017) - P. Pegon - F. Santambrogio - Q. Xia (Accepted Paper:
*J. Math. Pures Appl.*)

A fractal shape optimization problem in branched transport (2017) - D. Percivale - F. Tomarelli (
*Springer INdAM Series*)

Smooth and Broken Minimizers of Some Free Discontinuity Problems (2017) - K. Perera - M. Squassina (Submitted Paper)

Bifurcation results for problems with fractional Trudinger-Moser nonlinearity (2017) - A. Pinamonti - G. Speight (Submitted Paper)

Universal Differentiability Sets in Carnot Groups of Arbitrarily High Step (2017) - A. Pinamonti - M. Squassina - E. Vecchi (Accepted Paper :
*Journal of Mathematical Analysis and Applications*)

The Maz'ya-Shaposhnikova limit in the magnetic setting (2017) - A. Ponce - D. Spector (Preprint)

A Boxing Inequality for the Fractional Perimeter (2017) - A. Ponce - D. Spector (Preprint)

A note on the Fractional Perimeter and Interpolation (2017) - A. Ponosov - E. Stepanov (
*SIAM J. Control and Optimization*)

Smooth dynamics becomes hybrid in the limit (2017) - A. Pratelli - E. Radici (Submitted Paper)

Approximation of planar BV homeomorphisms by diffeomorphisms (2017) - A. Pratelli - E. Radici (
*Rend. Sem. Mat. Univ. Padova*)

On the piecewise approximation of bi-Lipschitz curves (2017) - A. Pratelli - E. Radici (Submitted Paper)

On the planar minimal BV extension problem (2017) - A. Pratelli - G. Saracco (
*Rev. Mat. Iberoamericana*)

On the generalized Cheeger problem and an application to 2d strips (2017) - A. Prosinski - F. Santambrogio (Accepted Paper:
*Stochastics*)

Global-in-time regularity via duality for congestion-penalized Mean Field Games (2017) - V. Radulescu - M. Squassina (
*Advances in Nonlinear Analysis*)

A festschrift in honor of Professor Patrizia Pucci's 65th birthday (2017) - L. Rizzi (
*Bulletin of the London Mathematical Society*)

A counterexample to gluing theorems for MCP metric measure spaces (2017) - L. Rizzi - U. Serres (
*Proceedings of the AMS*)

On the cut locus of free, step two Carnot groups (2017) - R. Rossi - G. Savaré (Submitted Paper)

From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems (2017) - R. Rossi - M. Thomas (Submitted Paper)

From nonlinear to linear elasticity in a coupled rate-dependent/independent system for brittle delamination (2017) - M. Ruf (preprint)

Discrete stochastic approximations of the Mumford-Shah functional (2017) - M. Ruf (Accepted Paper:
*ESAIM: COCV*)

Motion of discrete interfaces in low-contrast random environments (2017) - M. Ruf (Accepted Paper:
*Adv. Calc. Var.*)

On the continuity of functionals defined on partitions (2017) - F. Santambrogio (Accepted Paper:
*Bulletin of Mathematical Sciences*)

$\big\{$Euclidean, Metric, and Wasserstein$\big\}$ Gradient Flows: an overview (2017) - F. Santambrogio (Accepted Paper:
*Journal of Mathematical Analysis and Applications*)

Regularity via duality in calculus of variations and degenerate elliptic PDEs (2017) - F. Santambrogio - A. Xepapadeas - A. Yannacopoulos (Submitted Paper)

Spatial rational expectations equilibria in the Ramsey model of optimal growth (2017) - R. Scala (Accepted Paper:
*Annali SNS*)

Optimal estimates for the triple junction function and other surprising aspects of the area functional (2017) - N. Soave - H. Tavares - S. Terracini - A. Zilio (Submitted Paper)

Variational problems with long-range interaction (2017) - N. Soave - T. Weth (Submitted Paper)

The unique continuation property of sublinear equations (2017) - L. Spolaor - B. Velichkov (Accepted Paper:
*Comm. Pure Appl. Math.*)

An epiperimetric inequality for the regularity of some free boundary problems: the $2$-dimensional case (2017) - E. Stepanov - Y. Teplitskaya (
*J. London Math. Soc.*)

Self-contracted curves have finite length (2017) - E. Stepanov - D. Trevisan (
*J. Funct. Anal.*)

Three superposition principles: currents, continuity equations and curves of measures (2017) - E. Stepanov - D. Trevisan (Preprint)

Towards geometric integration of rough differential forms (2017) - S. Stuvard (Ph.D. Thesis)

Geometric variational problems on spaces of multiple valued functions (2017) - S. Stuvard (Submitted Paper)

Multiple valued Jacobi fields (2017) - S. Stuvard (Submitted Paper)

Multiple valued sections of vector bundles: the reparametrization theorem for $Q$-valued functions revisited (2017) - L. Tamanini (Phd Thesis)

Analysis and geometry of RCD spaces via the Schrödinger problem (2017) - A. Tribuzio (Accepted Paper)

Perturbations of Minimizing Movements and Curves of Maximal Slope (2017) - M. van den Berg - F. den Hollander (Accepted Paper:
*Bulletin of the London Mathematical Society (accepted)*)

Torsional rigidity for cylinders with a Brownian fracture (2017) - P. van Meurs (preprint)

Many-particle limits and non-convergence of dislocation wall pile-ups (2017) - M. van den Berg (
*Integral Equations and Operator Theory*)

Spectral bounds for the torsion function (2017)