[goldman]

Researcher, CNRS, Laboratoire Jacques-Louis Lions

**Email:** *goldman AT math.univ-paris-diderot.fr*

**Home-page:** https://www.ljll.math.upmc.fr/~goldman/

- M. Goldman - M. Novaga - B. Ruffini (
*Anal. PDE*)

On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint (2018) - M. Goldman (Accepted Paper:
*Indiana*)

Self-similar minimizers of a branched transport functional (2018) - M. Goldman - M. Huesmann - F. Otto (Preprint)

A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem (2018) - G. De Philippis - M. Goldman (Preprint)

A two-point function approach to connectedness of drops in convex potentials (2018) - M. Goldman - M. Novaga - M. Röger (Accepted Paper:
*Proc. Roy. Soc. Edinburgh Sect. A*)

Quantitative estimates for bending energies and applications to non-local variational problems (2018) - L. De Luca - M. Goldman - M. Strani (Accepted Paper:
*Math. Annalen*)

A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation (2018) - M. Goldman - F. Otto (Accepted Paper:
*Annales de l'ENS*)

A variational proof of partial regularity for optimal transportation maps (2018) - M. Goldman - F. Otto (Unpublished paper)

A variational proof of partial regularity for optimal transportation maps between sets (2017) - M. Goldman - B. Merlet - V. Millot (Submitted Paper)

A Ginzburg-Landau model with topologically induced free discontinuities (2017) - M. Goldman - B. Ruffini (Accepted:
*Geometric flows*)

Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review (2017) - S. Conti - M. Goldman - F. Otto - S. Serfaty (Accepted Paper:
*J. Ecole Polytechnique*)

A branched transport limit of the Ginzburg-Landau functional (2017) - M. Goldman - E. Runa (Submitted Paper)

On the optimality of stripes in a variational model with non-local interactions (2016) - M. Goldman - M. Josien - F. Otto (Accepted Paper:
*CPDE*)

New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations (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) - A. Chambolle - M. Goldman - M. Novaga (
*Adv. Calc. Var.*)

Fine properties of the subdifferential for a class of one-homogeneous functionals (2015) - M. Goldman - B. Merlet (Accepted:
*SIAM J. Math. Analysis*)

Phase segregation for binary mixtures of Bose-Einstein Condensates (2015) - M. Goldman - J. Royo-Letelier (Accepted Paper:
*ESAIM COCV*)

Sharp interface limit for two components Bose-Einstein condensates (2014) - P. Bella - M. Goldman - B. Zwicknagl (Accepted Paper:
*ARMA*)

Study of island formation in epitaxially strained films on unbounded domains (2014) - A. Chambolle - M. Goldman - M. Novaga (
*J. Geometric Analysis*)

Plane-like minimizers and differentiability of the stable norm (2014) - G. Bellettini - A. Chambolle - M. Goldman (Accepted Paper:
*M3AS*)

The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension (2013) - M. Goldman - B. Zwicknagl (Accepted paper:
*SIAM J. Math. Analysis*)

Scaling law and reduced models for epitaxially strained crystalline films (2013) - P. Bella - M. Goldman (Accepted:
*Proc. Roy. Soc. Edimburgh*)

Nucleation barriers at corners for a cubic-to-tetragonal phase transformation (2013) - A. Chambolle - M. Goldman - M. Novaga (
*J. Math. Pures et Appl.*)

Representation, relaxation and convexity for variational problems in Wiener spaces (2013) - A. Chambolle - M. Goldman - M. Novaga (
*in Geometric Partial Differential Equations, Edizioni della Normale, CRM Series*)

Existence and qualitative properties of isoperimetric sets in periodic media (2013) - M. Goldman - M. Novaga (
*Calc. Var. and PDE*)

Volume-constrained minimizers for the prescribed curvature problem in periodic media (2012) - M. Goldman - M. Novaga (
*Annales de l'IHP - Analyse Non Lineaire*)

Approximation and relaxation of perimeter in the Wiener space (2012) - M. Goldman (
*SIAM Journal of Imaging Science*)

Continuous Primal-Dual methods for Image Processing (2011) - M. Goldman (Accepted Paper:
*Rendiconti del Seminario Matematico della Università di Padova*)

A geometric approach for convexity in some variational problem in the Gauss space (2011)

*31 may 2017:*An exact self-similar solution to a branched transport problem*16 mar 2016:*Phase segregation for binary mixtures of Bose-Einstein Condensates*16 jun 2014:*On isoperimetric problems with density arising from the study of Bose-Einstein condensates*4 may 2011:*About existence of surfaces with prescribed mean curvature

*24 apr 2017 - 26 apr 2017:*Transport problems in Zurich*25 oct 2016 - 28 oct 2016:*Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries*31 jul 2014 - 1 aug 2014:*Trends in Non-Linear Analysis*16 jun 2014 - 20 jun 2014:*Isoperimetric Problems Between Analysis and Geometry

*25 jun 2018 - 27 jun 2018:*Calculus of Variations at Paris-Diderot