Gamma-convergence of nonlocal perimeter functionals L Ambrosio, G De Philippis, L Martinazzi
arXiv preprint arXiv:1007.3770, 2010
205 2010 The Monge–Ampère equation and its link to optimal transportation G De Philippis, A Figalli
Bulletin of the American Mathematical Society 51 (4), 527-580, 2014
169 2014 On the structure of 𝓐-free measures and applications G De Philippis, F Rindler
Annals of Mathematics, 1017-1039, 2016
136 2016 regularity for solutions of the Monge-Amp\`ere equationG De Philippis, A Figalli
arXiv preprint arXiv:1111.7207, 2011
110 2011 Faber–Krahn inequalities in sharp quantitative form L Brasco, G De Philippis, B Velichkov
98 2015 Non-collapsed spaces with Ricci curvature bounded from below G De Philippis, N Gigli
Journal de l’École polytechnique—Mathématiques 5, 613-650, 2018
90 2018 On a conjecture of Cheeger G De Philippis, A Marchese, F Rindler
arXiv preprint arXiv:1607.02554, 2016
60 2016 Regularity of free boundaries in anisotropic capillarity problems and the validity of Young’s law GD Philippis, F Maggi
Archive for Rational Mechanics and Analysis 216, 473-568, 2015
60 2015 A note on interior estimates for the Monge–Ampère equation G De Philippis, A Figalli, O Savin
Mathematische Annalen 357 (1), 11-22, 2013
59 2013 Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case L Ambrosio, M Colombo, G De Philippis, A Figalli
Communications in Partial Differential Equations, 2012
56 2012 From volume cone to metric cone in the nonsmooth setting G De Philippis, N Gigli
Geometric and Functional Analysis 26 (6), 1526-1587, 2016
55 2016 Existence and regularity of minimizers for some spectral functionals with perimeter constraint G De Philippis, B Velichkov
Applied Mathematics & Optimization 69 (2), 199-231, 2014
55 2014 Spectral inequalities in quantitative form L Brasco, G De Philippis
arXiv preprint arXiv:1604.05072, 2016
49 2016 BV estimates in optimal transportation and applications G De Philippis, AR Mészáros, F Santambrogio, B Velichkov
Archive for Rational Mechanics and Analysis 219, 829-860, 2016
49 2016 Spectral optimization for the Stekloff–Laplacian: the stability issue L Brasco, G De Philippis, B Ruffini
Journal of Functional Analysis 262 (11), 4675-4710, 2012
49 2012 Partial regularity for optimal transport maps G De Philippis, A Figalli
arXiv preprint arXiv:1209.5640, 2012
47 2012 Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints A Arroyo-Rabasa, G De Philippis, F Rindler
Advances in calculus of variations 13 (3), 219-255, 2020
45 2020 Dimensional estimates and rectifiability for measures satisfying linear PDE constraints A Arroyo-Rabasa, G De Philippis, J Hirsch, F Rindler
Geometric and Functional Analysis 29, 639-658, 2019
44 2019 A global existence result for the semigeostrophic equations in three dimensional convex domains L Ambrosio, M Colombo, G De Philippis, A Figalli
arXiv preprint arXiv:1205.5435, 2012
43 2012 Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies G De Philippis, A De Rosa, F Ghiraldin
Communications on Pure and Applied Mathematics 71 (6), 1123-1148, 2018
42 2018