M. Goldman:
Continuous Primal-Dual methods for Image Processing
SIAM Journal of Imaging Science Vol. 4, N. 1, p. 20, 2011
M. Goldman:
A geometric approach for convexity in some variational problem in the Gauss space
Rendiconti del Seminario Matematico della Università di Padova (Accepted Paper) 2011
M. Goldman, M. Novaga:
Volume-constrained minimizers for the prescribed curvature problem in periodic media
Calc. Var. and PDE Vol. 44, N. 3-4, p. 297-318, 2012
M. Goldman, M. Novaga:
Approximation and relaxation of perimeter in the Wiener space
Annales de l'IHP - Analyse Non Lineaire Vol. 29, p. 525-544, 2012
G. Bellettini, A. Chambolle, M. Goldman:
The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension
M3AS (Accepted Paper) 2013
M. Goldman, B. Zwicknagl:
Scaling law and reduced models for epitaxially strained crystalline films
SIAM J. Math. Analysis (Accepted paper) 2013
P. Bella, M. Goldman:
Nucleation barriers at corners for a cubic-to-tetragonal phase transformation
Proc. Roy. Soc. Edimburgh (Accepted) 2013
A. Chambolle, M. Goldman, M. Novaga:
Representation, relaxation and convexity for variational problems in Wiener spaces
J. Math. Pures et Appl. Vol. 99, N. 4, p. 419-435, 2013
A. Chambolle, M. Goldman, M. Novaga:
Existence and qualitative properties of isoperimetric sets in periodic media
in Geometric Partial Differential Equations, Edizioni della Normale, CRM Series Vol. 15, p. 93-104, 2013
M. Goldman, J. Royo-Letelier:
Sharp interface limit for two components Bose-Einstein condensates
ESAIM COCV (Accepted Paper) 2014
P. Bella, M. Goldman, B. Zwicknagl:
Study of island formation in epitaxially strained films on unbounded domains
ARMA (Accepted Paper) 2014
A. Chambolle, M. Goldman, M. Novaga:
Plane-like minimizers and differentiability of the stable norm
J. Geometric Analysis Vol. 24, N. 3, p. 1447-1489, 2014
M. Goldman, M. Josien, F. Otto:
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations
CPDE (Accepted Paper) 2015
M. Goldman, M. Novaga, B. Ruffini:
Existence and stability for a non-local isoperimetric model of charged liquid drops
Arch. Rat. Mech. Anal. Vol. 217, N. 1, p. 1-36, 2015
A. Chambolle, M. Goldman, M. Novaga:
Fine properties of the subdifferential for a class of one-homogeneous functionals
Adv. Calc. Var. Vol. 8, N. 1, p. 31-42, 2015
M. Goldman, B. Merlet:
Phase segregation for binary mixtures of Bose-Einstein Condensates
SIAM J. Math. Analysis (Accepted) 2015
M. Goldman, E. Runa:
On the optimality of stripes in a variational model with non-local interactions
Calc. Var. and PDE (Accepted Paper) 2016
M. Goldman, F. Otto:
A variational proof of partial regularity for optimal transportation maps between sets
(Unpublished paper) 2017
S. Conti, M. Goldman, F. Otto, S. Serfaty:
A branched transport limit of the Ginzburg-Landau functional
J. Ecole Polytechnique (Accepted Paper) 2017
M. Goldman, B. Ruffini:
Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review
Geometric flows 2017
M. Goldman, B. Merlet, V. Millot:
A Ginzburg-Landau model with topologically induced free discontinuities
Ann. Inst. Fourier (Accepted Paper) 2017
M. Goldman, M. Novaga, B. Ruffini:
On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint
Anal. PDE Vol. 11, N. 5, p. 11131142, 2018
M. Goldman:
Self-similar minimizers of a branched transport functional
Indiana (Accepted Paper) 2018
G. De Philippis, M. Goldman:
A two-point function approach to connectedness of drops in convex potentials
CAG (Accepted Paper) 2018
M. Goldman, F. Otto:
A variational proof of partial regularity for optimal transportation maps
Annales de l'ENS (Accepted Paper) 2018
M. Goldman, M. Huesmann, F. Otto:
A large-scale regularity theory for the Monge-Ampère equation with rough data and application to the optimal matching problem
(Unpublished paper) 2018
M. Goldman, B. Merlet:
Recent results on non-convex functionals penalizing oblique oscillations
Rend. Sem. Mat. Torino (Accepted Paper) 2019
M. Goldman:
A variational approach to regularity theory in optimal transportation
Actes du Séminaire Laurent Schwartz (Proceedings) N. 13, p. 14, 2019
L. De Luca, M. Goldman, M. Strani:
A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation
Math. Annalen Vol. 374, N. 3-4, p. 2041-2081, 2019
M. Goldman, M. Huesmann, F. Otto:
Quantitative linearization results for the Monge-Ampère equation
CPAM (Accepted Paper) 2019
M. Goldman, M. Novaga, M. Röger:
Quantitative estimates for bending energies and applications to non-local variational problems
Proc. Roy. Soc. Edinburgh Sect. A Vol. 150, N. 1, p. 131-169, 2020
M. Goldman:
An $\varepsilon-$regularity result for optimal transport maps between continuous densities
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (Accepted Paper) 2020
M. Goldman, B. Merlet:
Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates
Annali della SNS (Accepted Paper) 2020
M. Goldman, D. Trevisan:
Convergence of asymptotic costs for random Euclidean matching problems
Probability and Mathematical Physics (Accepted Paper) 2020
J. Candau-Tilh, M. Goldman:
Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type
(Preprint) 2021
L. Ambrosio, M. Goldman, D. Trevisan:
On the quadratic random matching problem in two-dimensional domains
(Submitted Paper) 2021
M. Goldman, B. Merlet, M. Pegon, S. Serfaty:
Compactness and structure of zero-states for unoriented Aviles--Giga functionals
(Submitted Paper) 2021
M. Goldman, M. Huesmann:
A fluctuation result for the displacement in the optimal matching problem
Annals of Probability (Accepted Paper) 2021
M. Goldman, M. Novaga, B. Ruffini:
Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions
Proc. Amer. Math. Soc. Vol. 150, N. 3, p. 1153-1165, 2022
M. Goldman, M. Novaga, B. Ruffini:
Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion
(Submitted Paper) 2022
M. Goldman, B. Merlet, M. Pegon:
Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter
(Submitted Paper) 2022