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- B. Acciaio - A. Pratelli (
*Internat. Ser. Numer. Math.*)

On the minimization of area among chord-convex sets (2015) - V. Agostiniani - G. Dal Maso - A. DeSimone (
*Proc. Roy. Soc. Edinburgh Sect. A*)

Attainment results for nematic elastomers (2015) - A. Agrachev - D. Barilari - L. Rizzi (
*Journal of Geometric Analysis*)

Sub-Riemannian curvature in contact geometry (2015) - A. Lerario - A. Agrachev - A. Gentile (
*Geometry & Topology*)

Geodesics and horizontal path spaces in Carnot groups (2015) - R. Alicandro - M. Cicalese - M. Ruf (
*Arch. Ration. Mech. Anal.*)

Domain formation in magnetic polymer composites: an approach via stochastic homogenization (2015) - S. Almi (ESAIM: COCV)

Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening (2015) - S. Amato - G. Bellettini - M. Paolini (Submitted Paper)

Constrained $BV$ functions on covering spaces for minimal networks and Plateau's type problems (2015) - S. Amato - G. Bellettini - L. Tealdi (Submitted Paper)

Anisotropic mean curvature on facets and relations with capillarity (2015) - L. Ambrosio (Submitted Paper)

Regularity theory for mass-minimizing currents (after Almgren-De Lellis-Spadaro) (2015) - L. Ambrosio - J. Bertrand (Submitted Paper)

DC Calculus (2015) - L. Ambrosio - H. Brezis - J. Bourgain - A. Figalli (Accepted Paper:
*Comm. Pure Appl. Math.*)

$BMO$-type norms related to the perimeter of sets (2015) - L. Ambrosio - M. Colombo - A. Figalli (Accepted Paper:
*Arch. Ration. Mech. Anal.*)

Existence and uniqueness of maximal regular flows for non-smooth vector fields (2015) - L. Ambrosio - M. Erbar - G. Savaré (Submitted Paper)

Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces (2015) - L. Ambrosio - R. Ghezzi (Submitted Paper)

Sobolev and Bounded Variation Functions on Metric Measure Spaces (2015) - L. Ambrosio - R. Ghezzi - V. Magnani (
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

BV functions and sets of finite perimeters in sub-Riemannian manifolds (2015) - L. Ambrosio - M. Miranda Jr - D. Pallara (
*Anal. Geom. Metr. Spaces*)

Some fine properties of $BV$ functions on Wiener spaces (2015) - L. Ambrosio - A. Mondino - G. Savaré (Accepted Paper:
*Memoirs Amer. Math. Soc.*)

Nonlinear diffusion equations and curvature conditions in metric measure spaces (2015) - L. Ambrosio - A. Pinamonti - G. Speight (Accepted paper:
*J. Reine Angew. Math.*)

Weighted Sobolev Spaces on Metric Measure Spaces (2015) - L. Ambrosio - D. Trevisan (Preprint)

Lecture notes on the DiPerna-Lions theory in abstract measure spaces (2015) - N. Ansini - F. Prinari (
*ESAIM Control Optim. Calc. Var.*)

On the lower semicontinuity of supremal functional under differential constraints (2015) - A. Baldi - B. Franchi - P. Pansu (Submitted Paper)

Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups (2015) - V. Barbu - P. Colli - G. Gilardi - G. Marinoschi - E. Rocca (Preprint)

Sliding mode control for a nonlinear phase-field system (2015) - M. Barchiesi - A. DeSimone (
*ESAIM: COCV*)

Frank energy for nematic elastomers: a nonlinear model (2015) - M. Bardi - A. Cesaroni - D. Ghilli (
*Discrete Contin. Dyn. Syst.*)

Large deviations for some fast stochastic volatility models by viscosity methods (2015) - M. Bardi - J. P. Maldonado Lopez (
*Dyn. Games Appl.*)

A Dijkstra-type algorithm for dynamic games (2015) - M. Bardi - G. Terrone (
*CIM Series in Mathematical Sciences*)

Periodic homogenization of deterministic control problems via limit occupational measures (2015) - D. Barilari - E. Paoli (Accepted Paper:
*Nonlinear Analysis*)

Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators (2015) - G. Barles - A. Briani - E. Chasseigne - N. Tchou (
*Asymptotic Analysis*)

Homogenization Results for a Deterministic Multi-domains Periodic Control Problem (2015) - P. Baroni - M. Colombo - G. Mingione (
*Nonlinear Analysis*)

Harnack inequalities for double phase functionals (2015) - D. Bartolucci - D. Castorina (Accepted Paper:
*Communications in Contemporary Mathematics*)

Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equations (2015) - L. Battaglia - A. Jevnikar - A. Malchiodi - D. Ruiz (Adv. Math.)

A general existence result for the Toda system on compact surfaces (2015) - L. Battaglia - A. Malchiodi (Preprint)

Existence and non-existence results for the SU(3) singular Toda system on compact surfaces (2015) - L. Beck - T. Schmidt (
*J. Funct. Anal.*)

Convex duality and uniqueness for $\rm BV$-minimizers (2015) - L. Beck - T. Schmidt (
*Nonlinear Anal., Theory Methods Appl.*)

Interior gradient regularity for $\rm BV$ minimizers of singular variational problems (2015) - F. Bekermam - A. Figalli - A. Guionnet (Accepted Paper:
*Comm. Math. Phys.*)

Transport maps for $\beta$-matrix models and Universality (2015) - G. Bellettini - A. Nayam - M. Novaga (
*Asymptotic Analysis*)

$\Gamma$-type estimates for the one-dimensional Allen-Cahn's action (2015) - G. Bellettini - M. Novaga - G. Orlandi (
*Discrete Cont. Dynam. System A*)

Eventual regularity for the parabolic minimal surface equation (2015) - L. Tealdi - G. Bellettini - M. Paolini (Submitted Paper)

Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity (2015) - J. D. Benamou - G. Carlier - M. Cuturi - L. Nenna - G. Peyré (
*SIAM Journal on Scientific Computing*)

Iterative Bregman projections for regularized transportation problems (2015) - J. D. Benamou - G. Carlier - L. Nenna (
*Splitting Methods in Communication, Imaging, Science, and Engineering*)

A Numerical Method to solveMulti-Marginal Optimal Transport Problems with Coulomb Cost (2015) - J. Bertrand - A. Pratelli - M. Puel (Accepted Paper:
*J. Math. Pures Appl.*)

Kantorovich potentials and continuity of total cost for relativistic cost functions (2015) - T. Blass - I. Fonseca - G. Leoni - M. Morandotti (
*SIAM Journal on Applied Mathematics*)

Dynamics for Systems of Screw Dislocations (2015) - A. Lerario - F. Boarotto (Submitted Paper)

Homotopy properties of horizontal path spaces and a theorem of Serre in subriemannian geometry (2015) - P. Bochard - A. Monteil (Submitted Paper)

A necessary condition for lower semicontinuity of line energies (2015) - A. Bohun (Phd Thesis)

Flows of singular vector fields and applications to fluid and kinetic equations (2015) - A. Bohun - F. Bouchut - G. Crippa (
*Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire*)

Lagrangian flows for vector fields with anisotropic regularity (2015) - A. Bohun - F. Bouchut - G. Crippa (
*Journal of Differential Equations*)

Lagrangian solutions to the Vlasov-Poisson system with L^1 density (2015) - M. Bonacini (
*Adv. Calc. Var.*)

Stability of equilibrium configurations for elastic films in two and three dimensions (2015) - M. Bonacini - H. Knüpfer - M. Röger (Accepted Paper:
*SIAM J. Math. Anal.*)

Optimal distribution of oppositely charged phases: perfect screening and other properties (2015) - E. Bonetti - E. Rocca (Preprint)

Generalized gradient flow structure of internal energy driven phase field systems (2015) - E. Bonetti - E. Rocca - R. Scala - G. Schimperna (Submitted Paper)

On the strongly damped wave equation with constraint (2015) - G. Bouchitté - G. Buttazzo (Submitted Paper)

Optimal design problems for Schrödinger operators with noncompact resolvents (2015) - D. Bourne - S. Roper (
*SIAM Journal on Numerical Analysis*)

Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems (2015) - P. Bousquet - L. Brasco (Accepted Paper:
*Math. Ann.*)

Global Lipschitz continuity for minima of degenerate problems (2015) - A. Braides - V. Chiadò Piat - A. Piatnitski (
*SIAM J. Math. Anal.*)

Homogenization of Discrete High-Contrast Energies (2015) - A. Braides - M. Cicalese - F. Solombrino (
*SIAM J. Math. Anal.*)

Q-tensor continuum energies as limits of head-to-tail symmetric spins systems (2015) - L. Brasco - G. De Philippis - B. Velichkov (
*Duke Math. J.*)

Faber-Krahn inequalities in sharp quantitative form (2015) - L. Brasco - E. Lindgren (Accepted Paper:
*Adv. Math.*)

Higher Sobolev regularity for the fractional $p-$Laplace equation in the superquadratic case (2015) - L. Brasco - S. J. N. Mosconi - M. Squassina (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Optimal decay of extremals for the fractional Sobolev inequality (2015) - L. Brasco - C. Nitsch - C. Trombetti (Accepted Paper:
*Commun. Contemp. Math.*)

An inequality à la Szego-Weinberger for the $p-$Laplacian on convex sets (2015) - L. Brasco - E. Parini (Accepted Paper:
*Adv. Calc. Var.*)

The second eigenvalue of the fractional $p-$Laplacian (2015) - L. Brasco - E. Parini - M. Squassina (Accepted Paper:
*Discrete Contin. Dyn. Syst.*)

Stability of variational eigenvalues for the fractional $p-$Laplacian (2015) - L. Brasco - B. Ruffini (Accepted Paper:
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Compact Sobolev embeddings and torsion functions (2015) - T. Buckmaster - C. De Lellis - P. Isett - L. J. Székelyhidi (
*Ann. of Math. (2)*)

Anomalous dissipation for $1/5$-Hölder Euler flows (2015) - D. Bucur - A. Giacomini (
*Arch. Ration. Mech. Anal.*)

FABER-KRAHN INEQUALITIES FOR THE ROBIN-LAPLACIAN: A FREE DISCONTINUITY APPROACH (2015) - D. Bucur - A. Giacomini (Accepted Paper:
*Ann. Inst. H. Poincaré Anal. Non Linéaire*)

Shape optimization problems with Robin conditions on the free boundary (2015) - D. Bucur - D. Mazzoleni (
*SIAM J. Math. Anal.*)

A surgery result for the spectrum of the Dirichlet Laplacian (2015) - L. Bufford - E. Davoli - I. Fonseca (Accepted Paper:
*Mathematical Models and Methods in Applied Sciences*)

Multiscale Homogenization in Kirchhoff's nonlinear plate theory (2015) - M. Burger - T. Esposito - C. I. Zeppieri (SIAM J. Multiscale Model. Simul.)

Second-order edge-penalization in the Ambrosio-Tortorelli functional (2015) - G. Buttazzo - E. Oudet - B. Velichkov (
*Calc. Var. PDE*)

A free boundary problem arising in PDE optimization (2015) - R. Buzano - H. T. Nguyen (preprint)

The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds (2015) - R. Buzano - M. Rupflin (preprint)

Smooth long-time existence of Harmonic Ricci Flow on surfaces (2015) - R. Buzano - B. Sharp (preprint)

Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area (2015) - P. Cannarsa - G. Da Prato - G. Metafune - D. Pallara (
*Rend. Acc. Lincei*)

Maximal regularity for gradient systems with boundary degeneracy (2015) - A. Y. Khapalov - P. Cannarsa - F. S. Priuli - G. Floridia (Published paper:
*J. Math. Anal. Appl.*)

Well-posedness of 2-D and 3-D swimming models in incompressible fluids governed by Navier-Stokes equations (2015) - L. Caravenna - L. V. Spinolo (Preprint)

Schaeffer's regularity theorem for scalar conservation laws does not extend to systems (2015) - M. Caroccia (
*Calculus of variation and PDE's*)

Cheeger $N$-clusters (2015) - M. Caroccia (Phd Thesis)

On the isoperimetric properties of planar N-clusters (2015) - M. Caroccia - F. Maggi (
*Journal de Mathématiques Pures et Appliquées*)

A sharp quantitative version of Hales' isoperimetric honeycomb theorem (2015) - M. Caroccia - R. Neumayer (
*Journal of Convex Analysis*)

A note on the stability of the Cheeger constant of $N$-gons (2015) - M. Carriero - A. Leaci - F. Tomarelli (
*Milan Journal of Mathematics*)

A Survey on the Blake–Zisserman Functional (2015) - J. A. Carrillo - D. Castorina - B. Volzone (
*Siam Journal on Mathematical Analysis*)

Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction (2015) - D. Castorina (
*Manuscripta Mathematica*)

Regularity of the extremal solution for singular p-Laplace equations (2015) - D. Castorina - M. Sanchon (
*Journal of the European Mathematical Society*)

Regularity of stable solutions of p-Laplace equations through geometric Sobolev type inequalities (2015) - D. Castorina - M. Sanchon (
*Advances in Nonlinear Analysis*)

Regularity of stable solutions to semilinear elliptic equations on Riemannian models (2015) - G. Catino (
*Calc. Var. Partial Differential Equations*)

Some rigidity results on critical metrics for quadratic functionals (2015) - G. Catino - C. Mantegazza - L. Mazzieri (
*Math. Ann.*)

A Note on Codazzi Tensors (2015) - G. Catino - C. Mantegazza - L. Mazzieri (
*Analysis & PDE*)

Locally Conformally Flat Ancient Ricci Flows (2015) - G. Catino - L. Mazzieri - S. Mongodi (
*Comm. Cont. Math.*)

Rigidity of gradient Einstein shrinkers (2015) - F. Cavalletti - A. Mondino (Accepted Paper:
*Invent. Math.*)

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds (2015) - F. Cavalletti - A. Mondino (
*Geom. Topol.*)

Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds (2015) - F. Cavalletti - T. Rajala (Accepted Paper:
*Anal. Geom. Metr. Spaces*)

Tangent lines and Lipschitz differentiability spaces (2015) - A. Cesaroni - C. Muratov - M. Novaga (
*Arch. Rat. Mech. Anal.*)

Front propagation in geometric and phase field models of stratified media (2015) - A. Chambolle - M. Goldman - M. Novaga (
*Adv. Calc. Var.*)

Fine properties of the subdifferential for a class of one-homogeneous functionals (2015) - A. Chambolle - M. Morini - M. Ponsiglione (
*Arch. Ration. Mech. Anal.*)

Nonlocal curvature flows (2015) - A. Chambolle - M. Novaga (
*Advanced Studies in Pure Mathematics*)

Existence and uniqueness for planar anisotropic and crystalline curvature flow (2015) - E. Chiodaroli - C. De Lellis - O. Kreml (
*Comm. Pure App. Math.*)

Global ill-posedness of the isentropic system of gas dynamics (2015) - E. Chiodaroli - E. Feireisl - O. Kreml (
*Annales de l'Institut Henri Poincare (C) Non Linear Analysis*)

On the weak solutions to the equations of a compressible heat conducting gas (2015) - E. Chiodaroli - E. Feireisl - O. Kreml - E. Wiedemann (Preprint)

A-free Rigidity and Applications to the Compressible Euler System (2015) - E. Chiodaroli - O. Kreml (Accepted Paper:
*Bulletin of the Brazilian Mathematical Society*)

An overview of some recent results on the Euler system of isentropic gas dynamics (2015) - E. Chiodaroli - J. Krieger (Accepted Paper:
*Transactions of the AMS*)

A class of large global solutions for the Wave--Map equation (2015) - M. Chiricotto - L. Giacomelli (Submitted Paper)

Weak solutions to thin-film equations with contact-line friction (2015) - V. Chousionis - V. Magnani - J. Tyson (
*Calc. Var. Partial Differential Equations*)

Removable sets for Lipschitz harmonic functions on Carnot groups (2015) - M. Cicalese - G. P. Leonardi - F. Maggi (Accepted Paper:
*Indiana U Math Journal*)

Improved convergence theorems for bubble clusters. I. The planar case (2015) - M. Cicalese - M. Ruf (Conference Proceedings )

Discrete spin systems on random lattices at the bulk scaling (2015) - M. Cicalese - F. Solombrino (
*Journal of Nonlinear Science*)

Frustrated ferromagnetic spin chains: a variational approach to chirality transitions (2015) - E. Cinti - J. Davila - M. Del Pino (Accepted Paper:
*J. London Math. Soc.*)

Solutions of the fractional Allen-Cahn equation which are invariant under screw motion (2015) - E. Cinti - F. Ferrari (Accepted Paper:
*NoDea*)

Geometric inequalities for fractional Laplace operators and applications (2015) - E. Cinti - A. Pratelli (
*Math. Ann.*)

Regularity of isoperimetric sets in $\mathbb R^2$ with density (2015) - G. Ciraolo - A. Figalli - F. Maggi - M. Novaga (Accepted Paper:
*J. Reine Angew. Math.*)

Rigidity and sharp stability estimates for hypersurfaces with constant and almost-constant nonlocal mean curvature (2015) - M. Colombo (Phd Thesis)

Flows of non-smooth vector fields and degenerate elliptic equations (2015) - M. Colombo - G. Crippa - S. Spirito (Accepted Paper:
*Calc. Var. PDE*)

Renormalized solutions to the continuity equation with an integrable damping term (2015) - M. Colombo - F. Stra (Accepted Paper:
*Math. Models Methods Appl. Sci.*)

Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data (2015) - S. Conti - A. Garroni - A. Massaccesi (
*Calc. Var. Partial Differential Equations*)

Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity (2015) - S. Conti - A. Garroni - S. Müller (Preprint)

Dislocation microstructures and strain- gradient plasticity with one active slip plane (2015) - S. Conti - A. Garroni - M. Ortiz (Submitted Paper)

The line-tension approximation as the dilute limit of linear-elastic dislocations (2015) - G. Crasta - A. Malusa (Accepted Paper:
*J. Differential Equations*)

Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory (2015) - L. Cremaschi - C. Mantegazza (
*Discrete Contin. Dyn. Syst. - Series A*)

Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three (2015) - R. Cristoferi (Phd Thesis)

On local and global minimizers of some non-convex variational problems (2015) - R. Cristoferi (Accepted Paper)

On periodic critical points and local minimizers of the Ohta-Kawasaki functional (2015) - G. Csato (Submitted Paper)

An Isoperimetric Problem With Density and the Hardy Sobolev Inequality in $\mathbb{R}^2$ (2015) - G. Cupini - F. Leonetti - E. Mascolo (Accepted Paper:
*Ann. Acad. Sci. Fenn. Math.*)

Existence of weak solutions for elliptic systems with $p,q$-growth (2015) - G. Cupini - P. Marcellini - E. Mascolo (Accepted Paper:
*J. Optim. Theory Appl.*)

Local boundedness of minimizers with limit growth conditions (2015) - M. Dai - E. Feireisl - E. Rocca - G. Schimperna (Preprint)

Analysis of a diffuse interface model of multispecies tumor growth (2015) - G. Dal Maso - A. DeSimone - M. Morandotti (
*ESAIM Control Optim. Calc. Var.*)

One-dimensional swimmers in viscous fluids: dynamics, controllability, and existence of optimal controls (2015) - G. Dal Maso - I. Fonseca - G. Leoni (
*Calc. Var. Partial Differential Equations*)

Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional (2015) - G. Dal Maso - G. Orlando - R. Toader (
*NoDEA Nonlinear Differential Equations Appl.*)

Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length (2015) - A. Daniilidis - G. David - E. Durand-Cartagena - A. Lemenant (
*Journal of Geometric Analysis*)

Rectifiability of Self-contracted curves in the euclidean space and applications (2015) - E. Davoli - M. G. Mora (
*Calc. Var. Partial Differential Equations*)

Stress regularity for a new quasistatic evolution model of perfectly plastic plates (2015) - C. De Lellis - R. Ignat (
*Comm. Partial Differential Equations*)

A regularizing property of the 2d-eikonal equation (2015) - C. De Lellis - D. Inauen - L. J. Székelyhidi (Accepted Paper:
*Revista matemática Iberoamericana*)

A Nash-Kuiper theorem for $C^{1,\frac{1}{5}-\delta}$ immersions of surfaces in $3$ dimensions (2015) - C. De Lellis - E. Spadaro (
*Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)*)

Multiple valued functions and integral currents (2015) - C. De Lellis - E. Spadaro - L. Spolaor (Accepted Paper:
*Transactions AMS*)

Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation (2015) - C. De Lellis - E. Spadaro - L. Spolaor (Accepted Paper:
*Annals of PDEs*)

Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold (2015) - C. De Lellis - E. Spadaro - L. Spolaor (Accepted Paper:
*Comm. Pure Appl. Math.*)

Uniqueness of tangent cones for $2$-dimensional almost minimizing currents (2015) - C. De Lellis - L. J. Székelyhidi (
*Eur. Math. Soc. Newsl.*)

The $h$-principle and Onsager's conjecture (2015) - L. De Pascale - C. Jimenez (Preprint:
*Adv. Differential Equations*)

Duality theory and optimal transport for sand piles growing in a silos (2015) - G. De Philippis - A. De Rosa - F. Ghiraldin (
*Adv. in Math.*)

A direct approach to Plateau's problem in any codimension (2015) - N. Gigli - G. De Philippis (Accepted Paper:
*Geom. Funct. Anal.*)

From volume cone to metric cone in the nonsmooth setting (2015) - G. De Philippis - A. R. Mészáros - F. Santambrogio - B. Velichkov (Accepted Paper:
*Arch. Ration. Mech. An.*)

BV Estimates in Optimal Transportation and Applications (2015) - A. Di Castro - M. Novaga - B. Ruffini - E. Valdinoci (
*Calc. Var. Partial Differential Equations*)

Nonlocal quantitative isoperimetric inequalities (2015) - S. Di Marino - F. Santambrogio - B. Maury (Accepted Paper:
*J. Conv. An.*)

Measure sweeping processes (2015) - S. Dipierro - G. Palatucci - E. Valdinoci (
*Comm. Math. Phys.*)

Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting (2015) - P. W. Dondl - S. Wojtowytsch (Submitted Paper)

Uniform Regularity and Convergence of Phase-Fields for Willmore's Energy (2015) - A. C. G. Mennucci - A. Duci (
*SIAM Journal on Imaging Sciences*)

Banach-like distances and metrics spaces of compact sets (2015) - E. Durand-Cartagena - X. Li (
*Illinois Journal of Mathematics*)

Preservation of $p$-Poincaré inequality for large $p$ under sphericalization and flattening (2015) - T. Ekholm - R. Frank - H. Kovarik (
*Calc. Var. Partial Differential Equations*)

Weak perturbations of the p-Laplacian (2015) - T. Ekholm - H. Kovarik - A. Laptev (
*Nonlinear Anal.*)

Hardy inequalities for p-Laplacians with Robin boundary conditions (2015) - S. Nardulli - A. Enrique Muñoz Flores (Submitted Paper)

Generalized compactness for finite perimeter sets and applications to the isoperimetric problem (2015) - A. H. Erhardt (
*Ann. Mat. Pura Appl. (4)*)

Hölder estimates for parabolic obstacle problems (2015) - L. Fanelli - G. Grillo - H. Kovarik (
*J. Funct. Anal.*)

Improved time-decay for a class of scaling critical electromagnetic Schroedinger flows (2015) - S. Fanzon - M. Palombaro - M. Ponsiglione (Preprint)

A variational model for dislocations at semi-coherent interfaces (2015) - L. Faria - O. Miyagaki - F. Pereira - M. Squassina - C. Zhang (Accepted Paper:
*Advances in Nonlinear Analysis*)

The Brezis-Nirenberg problem for nonlocal systems (2015) - A. Farina (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

A Bernstein-type result for the minimal surface equation (2015) - A. Farina (Published:
*DCDS-A (Discrete and Continuous Dynamical Systems - Series A)*)

Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems (2015) - A. Farina - E. Valdinoci (Accepted Paper :
*Comm. in PDE*)

1D SYMMETRY FOR SEMILINEAR PDES FROM THE LIMIT INTERFACE OF THE SOLUTION (2015) - A. Figalli (Lecture notes:
*CIME Lecture Notes*)

Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère (2015) - A. Figalli - Y. Jhaveri - C. Mooney (Accepted Paper:
*J. Funct. Anal.*)

Nonlinear bounds in Hölder spaces for the Monge-Ampère equation (2015) - A. Figalli - A. Pelayo (Accepted Paper:
*Adv. Geom.*)

On the density function on moduli spaces of toric 4-manifolds (2015) - A. Figalli - H. Shahgholian (Accepted Paper:
*Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.*)

An overview of unconstrained free boundary problems (2015) - S. Nardulli - A. E. M. Flores (Submitted Paper)

The isoperimetric problem of a complete Riemannian manifolds with a finite number of C0-asymptotically Schwarzschild ends (2015) - M. Focardi - M. S. Gelli - E. Spadaro (
*Calc. Var. Partial Differential Equations*)

Monotonicity formulas for obstacle problems with Lipschitz coefficients (2015) - M. Focardi - E. Spadaro (Accepted Paper:
*Advances in Differential Equations*)

An epiperimetric inequality for the thin obstacle problem (2015) - I. Fonseca - G. Leoni - X. Y. Lu (
*Commun. Part. Diff. Eq.*)

Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces (2015) - S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (
*Commun. Pure Appl. Anal.*)

Second order elliptic operators in $L^2$ with first order degeneration at the boundary and outward pointing drift (2015) - R. Fosdick - G. Royer Carfagni (
*Journal of Elasticity*)

Singular Shear-Force States in Elementary Plate Theory (2015) - V. Franceschi - G. P. Leonardi - R. Monti (
*Calc. Var. Partial Differential Equations*)

Quantitative isoperimetric inequalities in $\mathbb H ^n$ (2015) - G. A. Francfort - A. Giacomini (
*Chin. Ann. Math. Ser. B*)

The role of a vanishing interfacial layer in perfect elasto-plasticity (2015) - G. A. Francfort - A. Giacomini - J. J. Marigo (
*Interfaces Free Bound.*)

The taming of plastic slips in Von Mises elasto-plasticity (2015) - B. Franchi - S. Lorenzani (Submitted Paper)

From a microscopic to a macroscopic model for Alzheimer disease: Two-scale homogenization of the Smoluchowski equation in perforated domains (2015) - M. Friedrich (Preprint)

A Korn-Poincare-type inequality for special functions of bounded deformation (2015) - M. Friedrich (Preprint)

A Korn-type inequality in SBD for functions with small jump sets (2015) - M. Friedrich (Preprint)

A derivation of linearized Griffith energies from nonlinear models (2015) - M. Friedrich - B. Schmidt (Preprint)

A quantitative geometric rigidity result in SBD (2015) - N. Fusco (Accepted Paper:
*Bull. Math. Sci.*)

The quantitative isoperimetric inequality and related topics (2015) - N. Fusco - G. Moscariello - C. Sbordone (Submitted Paper)

A formula for the total variation of SBV functions (2015) - N. Fusco - X. Zhong (Submitted Paper)

On the Euler-Lagrange equation of a functional by Pólya and Szegö (2015) - A. Lerario - Y. Fyodorov - E. Lundberg (
*Journal of Geometry and Physics*)

On the number of connected components of random algebraic hypersurfaces (2015) - M. Galli - M. Ritoré (Accepted Paper:
*Calc. Var. PDE*)

Regularity of $C^1$ surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds (2015) - L. Giacomelli (
*SIAM J. Math. Anal.*)

Finite speed of propagation and waiting-time phenomena for degenerate parabolic equations with linear growth Lagrangian (2015) - Giacomo De Palma - D. Trevisan - V. Giovannetti (preprint)

Passive states optimize the output of bosonic Gaussian quantum channels (2015) - N. Gigli - B. Han (Submitted Paper)

Sobolev Spaces on Warped Products (2015) - N. Gigli - B. Han (
*Calculus of Variations and Partial Differential Equations*)

The continuity equation on metric measure spaces (2015) - M. Goldman - M. Josien - F. Otto (Accepted Paper:
*CPDE*)

New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations (2015) - M. Goldman - B. Merlet (Accepted:
*SIAM J. Math. Analysis*)

Phase segregation for binary mixtures of Bose-Einstein Condensates (2015) - M. Goldman - M. Novaga - B. Ruffini (
*Arch. Rat. Mech. Anal.*)

Existence and stability for a non-local isoperimetric model of charged liquid drops (2015) - S. Granlund - N. Marola (
*Commun. Pure Appl. Anal.*)

Phragmen-Lindelöf theorem for infinity harmonic functions (2015) - D. Guidetti - B. Güneysu - D. Pallara

On some generalisations of Meyers-Serrin Theorem (2015) - B. Güneysu - D. Pallara (
*Mathematische Annalen*)

Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below (2015) - N. Shanmugalingam - P. Lahti - R. Korte - H. Hakkarainen (Published:
*Analysis and Geometry in Metric Spaces*)

Stability and continuity of functions of least gradient (2015) - B. Han (Preprint)

Conformal transformation on metric measure spaces (2015) - E. Harrell - A. Henrot - J. Lamboley (
*Journal of convex Analysis*)

On the local minimizers of the Mahler volume (2015) - A. Lerario - E. Lundberg - D. Mehta - J. Hauenstein (
*Experimental Mathematics*)

Experiments on the zeroes of harmonic polynomials using certified counting (2015) - X. He - M. Squassina - W. Zou (Preprint)

The Nehari manifold for fractional systems involving critical nonlinearities (2015) - C. Heinemann - C. Kraus - E. Rocca - R. Rossi (Submitted Paper)

A temperature-dependent phase-field model for phase separation and damage (2015) - S. Hencl - A. Pratelli (Accepted Paper:
*J. Eur. Math. Soc.*)

Diffeomorphic Approximation of $W^{1,1}$ Planar Sobolev Homeomorphisms (2015) - R. Hurri-Syrjänen - N. Marola - A. V. Vähäkangas (
*Manuscripta Math.*)

Poincare inequalities in quasihyperbolic boundary condition domains (2015) - R. L. Jerrard - M. Novaga - G. Orlandi (
*Comm. Contemp. Math.*)

On the regularity of timelike extremal surfaces (2015) - A. Jevnikar (Accepted Paper:
*Advanced Nonlinear Studies*)

A note on a multiplicity result for the mean field equation on compact surfaces (2015) - A. Jevnikar (
*Proc. Royal Soc. Edinburgh A*)

An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime (2015) - A. Jevnikar - S. Kallel - A. Malchiodi (Analysis and PDE)

A topological join construction and the Toda system on compact surfaces of arbitrary genus (2015) - C. Jimenez - M. Quincampoix - Y. Xu (Accepted Paper:
*Dynamic games and applications*)

Differential games with incomplete information on a continuum of initial positions and without Isaacs condition (2015) - J. Kinnunen - R. Korte - N. Marola - N. Shanmugalingam (To appear:
*Collect. Math.*)

A characterization of BMO self-maps of a metric measure space (2015) - D. Knees - R. Rossi - C. Zanini (
*Nonlinear Analysis Series B: Real World Applications*)

A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains (2015) - H. Knüpfer - C. Muratov - M. Novaga (Accepted Paper:
*Comm. Math. Phys.*)

Low density phases in a uniformly charged liquid (2015) - R. Korte - P. Lahti - N. Shanmugalingam (Accepted Paper:
*Calc. Var. PDE*)

Semmes family of curves and a characterization of functions of bounded variation in terms of curves (2015) - H. Kovarik (
*Comm. Math. Phys.*)

Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schroedinger operators (2015) - H. Kovarik - T. Weidl (
*Proc. Royal Soc. Edinburgh, Sect. A*)

Improved Berezin-Li-Yau inequalities with magnetic field (2015) - J. Lamboley - P. Sicbaldi (
*International Mathematics Research Notices, IMRN*)

New examples of extremal domains for the first eigenvalue of the Laplace-Beltrami operator in a Riemannian manifold with boundary (2015) - T. Lamm - A. Malchiodi - M. Micallef (Preprint)

Limits of $\alpha$-harmonic maps (2015) - G. Lazzaroni - M. Palombaro - A. Schlömerkemper (
*Communications in Mathematical Sciences*)

A discrete to continuum analysis of dislocations in nanowire heterostructures (2015) - E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (
*ESAIM Control Optim. Calc. Var.*)

Corners in non-equiregular sub-Riemannian manifolds (2015) - E. Le Donne - S. Nicolussi Golo (Submitted Paper)

Regularity properties of spheres in homogeneous groups (2015) - E. Le Donne - S. Nicolussi Golo - A. Sambusetti (Submitted Paper)

Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary (2015) - E. Le Donne - S. Rigot (Preprint)

Besicovitch Covering Property on graded groups and applications to measure differentiation (2015) - A. Lerario - S. Y. Lee - E. Lundberg (
*Indiana University Mathematics Journal*)

Remarks on Wilmshurst’s Theorem (2015) - G. P. Leonardi (Preprint)

An overview on the Cheeger problem (2015) - G. P. Leonardi - F. Maggi (Accepted Paper:
*Indiana U Math Journal*)

Improved convergence theorems for bubble clusters. II. The three-dimensional case (2015) - G. P. Leonardi - A. Pratelli (
*Calc. Var. PDE*)

On the Cheeger sets in strips and non-convex domains (2015) - G. Leoni - R. Murray (Submitted Paper:
*Archive of Rational Mechanics and Analysis*)

Second-Order $\Gamma$-limit for the Cahn-Hilliard Functional (2015) - A. Lerario (Submitted Paper)

Intrinisic volumes of sets of singular matrices and applications to real algebraic geometry (2015) - A. Lerario (
*Proceedings of the American Mathematical Society*)

Random matrices and the average topology of the intersection of two quadrics (2015) - A. Lerario - E. Lundberg (
*Discrete and Computational Geometry*)

Gap probabilities and Betti numbers of a random intersection of quadrics (2015) - A. Lerario - E. Lundberg (Submitted Paper)

On the zeroes of random harmonic polynomials: the truncated model (2015) - A. Lerario - A. Mondino (Submitted Paper)

Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics (2015) - Y. Li (
*Nonlinear Analysis: Theory, Methods & Applications*)

Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature (2015) - Y. Li - K. Liu (
*Science China Mathematics*)

A geometric heat flow for vector fields (2015) - X. Y. Lu (Accepted Paper:
*Rend. Sem. Mat. Univ. Padova*)

Example of minimizer of the average distance problem with non closed set of corners (2015) - X. Y. Lu (Accepted Paper:
*Netw. Heterog. Media*)

Regularity of densities in relaxed and penalized average distance problem (2015) - X. Y. Lu - D. Slepčev (Accepted Paper:
*ESAIM: COCV*)

Average-distance problem for parameterized curves (2015) - A. Lunardi - M. Miranda Jr - D. Pallara (
*Potential Analysis*)

BV functions on convex domains in Wiener spaces (2015) - L. Lussardi (
*Asymptotic Anal.*)

A note on a phase-field model for anisotropic systems (2015) - L. Lussardi (
*Discrete Contin. Dyn. Syst. Ser. S*)

On a Poisson's equation arising from magnetism (2015) - F. Maggi - C. Mihaila (Accepted paper:
*Calc. Var. PDE*)

On the shape of capillarity droplets in a container (2015) - G. B. Maggiani - M. G. Mora (Mathematical Models and Methods in Applied Sciences (M3AS))

A dynamic evolution model for perfectly plastic plates (2015) - V. Magnani (
*Proc. Roy. Soc. Edinburgh Sect. A*)

On a measure theoretic area formula (2015) - V. Magnani (Submitted Paper)

Some remarks on densities in the Heisenberg group (2015) - V. Magnani - J. Malý - S. Mongodi (
*J. Geom. Anal.*)

A low rank property and nonexistence of higher dimensional horizontal Sobolev sets (2015) - V. Magnani - J. Tyson - D. Vittone (
*J. Anal. Math.*)

On transversal submanifolds and their measure (2015) - A. Magni (Preprint:
*Oberwolfach Reports*)

Variational analysis of an Allen--Cahn action functional (2015) - C. Mantegazza - R. Müller (
*J. Reine Angew. Math. (Crelle's Journal)*)

Perelman's Entropy Functional at Type I Singularities of the Ricci Flow (2015) - A. Marchese (Rend. Semin. Mat. Univ. Padova)

Lusin type theorems for Radon measures (2015) - A. Massaccesi - E. Valdinoci (Accepted Paper:
*Journal of Mathematical Biology*)

Is a nonlocal diffusion strategy convenient for biological populations in competition? (2015) - J. Matias - M. Morandotti (
*São Paulo Journal of Mathematical Sciences*)

Homogenization problems in the Calculus of Variations: an overview (2015) - J. Matias - M. Morandotti - P. M. Santos (
*Applied Mathematics and Optimization*)

Homogenization of functionals with linear growth in the context of $\mathcal{A}$-quasiconvexity (2015) - G. Mercier - M. Novaga (
*Interfaces and Free Boundaries*)

Mean curvature flow with obstacles: existence, uniqueness and regularity of solutions (2015) - M. Miranda Jr - M. Novaga - D. Pallara (
*Advanced Studies in Pure Mathematics*)

An introduction to BV functions in Wiener spaces (2015) - A. Mondino - H. T. Nguyen (Accepted Paper:
*Annales de l'Institut Fourier*)

Global conformal invariants of submanifolds (2015) - A. Monteil (Accepted Paper:
*ESAIM:COCV*)

Uniform estimates for a Modica-Mortola type approximation of branched transportation (2015) - R. Monti (Accepted Paper:
*Nonlinear Analysis Series A: Theory, Methods & Applications*)

Minimal surfaces and harmonic functions in the Heisenberg group (2015) - R. Monti - D. Vittone (
*Analysis and PDE*)

Height estimate and slicing formulas in the Heisenberg group (2015) - M. G. Mora (Submitted Paper)

Relaxation of the Hencky model in perfect plasticity (2015) - M. Morini - V. Slastikov (
*Journal of Differential Equations*)

Geometrically induced phase transitions in two-dimensional dumbbell-shaped domains (2015) - S. J. N. Mosconi - K. Perera - M. Squassina - Y. Yang (Preprint)

The Brezis-Nirenberg problem for the fractional p-Laplacian (2015) - S. J. N. Mosconi - M. Squassina (Submitted Paper)

Nonlocal problems at nearly critical growth (2015) - D. Mucci - L. Nicolodi (
*SIAM J. Math. Anal.*)

On the Landau-de Gennes elastic energy of constrained biaxial nematics (2015) - D. Pagliardini - D. Mugnai (
*Advances in Calculus of Variations*)

Existence and multiplicity results for the fractional Laplacian in bounded domains (2015) - D. Mugnai - M. Rinaldi (Accepted Paper:
*Calculus of Variations and Partial Differential Equations*)

Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence (2015) - E. Musta - M. Pratelli - D. Trevisan (preprint)

Functional Cramer-Rao bounds and Stein estimators in Sobolev spaces, for Brownian motion and Cox processes (2015) - A. R. Mészáros (Phd Thesis)

Density constraints in Optimal Transport, PDEs and Mean Field Games (2015) - A. R. Mészáros - F. J. Silva (Accepted Paper:
*J. Math. Pures Appl.*)

A variational approach to second order mean field games with density constraints: the stationary case (2015) - S. Müller - L. Scardia - C. I. Zeppieri (Book chapter:
*Analysis and Computation of Microstructure in Finite Plasticity. Lecture Notes in Applied and Computational Mechanics.*)

Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations (2015) - M. Negri - R. Toader (
*Math. Models Methods Appl. Sci.*)

Scaling in fracture mechanics by Bazant’s law: from finite to linearized elasticity. (2015) - M. Novaga - S. Okabe (
*Math. Ann.*)

Regularity of the obstacle problem for the parabolic biharmonic equation (2015) - M. Novaga - B. Ruffini (
*J. Convex Anal.*)

Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian (2015) - G. Palatucci - A. Pisante (
*Nonlinear Anal.*)

A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces (2015) - G. Palatucci - A. Pisante - Y. Sire (
*Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5)*)

Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach (2015) - E. Paolini - E. Stepanov - Y. Teplitskaya (
*Adv. Calc. Var.*)

An example of an infinite Steiner tree connecting an uncountable set (2015) - F. Paronetto (Submitted Paper)

Further existence results for evolution equations of mixed type and for a generalized Tricomi equation (2015) - M. Petrache (Submitted Paper)

Decorrelation as an avatar of convexity (2015) - M. Petrache - J. Van Schaftingen (Preprint)

Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds (2015) - A. Pinamonti - F. Serra Cassano - G. Treu - D. Vittone (
*Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)*)

BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition (2015) - A. Pinamonti - G. Speight (Accepted paper: Math.Ann.)

A Measure Zero Universal Differentiability Set in the Heisenberg Group (2015) - D. Prandi - L. Rizzi - M. Seri (Accepted Paper:
*Journal of Differential Geometry*)

A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators (2015) - A. Pratelli (
*Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.*)

A survey on the existence of isoperimetric sets in the space $\mathbb R^N$ with density (2015) - A. Pratelli (
*Nonlinear Anal.*)

On the bi-Sobolev planar homeomorphisms and their approximation (2015) - F. Prinari (Accepted Paper:
*NODEA*)

On the lower semicontinuity and approximation of $L^\infty$-functionals (2015) - L. Rizzi - P. Silveira (Accepted Paper:
*Journal of the Institute of Mathematics of Jussieu*)

Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds (2015) - E. Rocca - R. Rossi (
*SIAM J. MATH. ANAL.*)

``Entropic'' solutions to a thermodynamically consistent PDE system for phase transitions and damage (2015) - R. Rossi - M. Thomas (Submitted Paper)

Coupling rate-independent and rate-dependent processes: existence results (2015) - F. Santambrogio (Book)

Optimal Transport for Applied Mathematicians (2015) - R. Scala (Accepted on Interfaces Free Bound.)

A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint (2015) - R. Scala - G. Schimperna (European Journal of Applied Mathematics)

A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints (2015) - R. Scala - N. Van Goethem ( Accepted on Proc. A Royal Soc. Edinburgh )

Analytic and geometric properties of dislocation singularities (2015) - C. Scheven - T. Schmidt (Preprint)

An Anzellotti type pairing for divergence-measure fields and a notion of weakly super-1-harmonic functions (2015) - A. Schikorra - T. T. Shieh - D. Spector (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)

$L^p$-theory for fractional gradient PDE with VMO coefficients (2015) - T. Schmidt (Habilitation Thesis)

$\rm BV$ Minimizers of Variational Integrals: Existence, Uniqueness, Regularity (2015) - T. Schmidt (
*Proc. Am. Math. Soc.*)

Strict interior approximation of sets of finite perimeter and functions of bounded variation (2015) - N. Soave (
*Calc. Var. Partial Differential Equations*)

On existence and phase separation of solitary waves for nonlinear Schrödinger systems modelling simultaneous cooperation and competition. (2015) - N. Soave - S. Terracini (
*Advances in Math.*)

Liouville theorems and 1-dimensional symmetry for solutions of an elliptic system modelling phase-separation (2015) - N. Soave - A. Zilio (Accepted Paper:
*Archive Ration. Mech. Anal.*)

UNIFORM BOUNDS FOR STRONGLY COMPETING SYSTEMS: THE OPTIMAL LIPSCHITZ CASE (2015) - F. Solombrino (
*Mathematische Nachrichten*)

A-priori time regularity estimates and a simplified proof of existence in perfect plasticity (2015) - D. Spector (Preprint)

On a generalization of $L^p$-differentiability (2015) - G. Speight (
*Revista Matematica Iberoamericana*)

Lusin Approximation and Horizontal Curves in Carnot Groups (2015) - L. Spolaor (Preprint)

Almgren's type regularity for Semicalibrated Currents (2015) - P. Tilli - D. Zucco (
*SIAM J. Math. Anal.*)

Where Best to Place a Dirichlet Condition in an Anisotropic Membrane? (2015) - D. Trevisan (preprint)

Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients (2015)