Gamma-convergence of nonlocal perimeter functionals L Ambrosio, G De Philippis, L Martinazzi arXiv preprint arXiv:1007.3770, 2010 | 171 | 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 | 125 | 2014 |
On the structure of 𝓐-free measures and applications G De Philippis, F Rindler Annals of Mathematics, 1017-1039, 2016 | 95 | 2016 |
W 2,1 regularity for solutions of the Monge–Ampère equation G De Philippis, A Figalli Inventiones mathematicae 192 (1), 55-69, 2013 | 92 | 2013 |
Faber–Krahn inequalities in sharp quantitative form L Brasco, G De Philippis, B Velichkov Duke Mathematical Journal 164 (9), 1777-1831, 2015 | 70 | 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 | 50 | 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 | 48 | 2012 |
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 | 40 | 2014 |
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 | 40 | 2012 |
BV estimates in optimal transportation and applications G De Philippis, AR Mészáros, F Santambrogio, B Velichkov Archive for Rational Mechanics and Analysis 219 (2), 829-860, 2016 | 37 | 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 | 37 | 2012 |
Non-collapsed spaces with Ricci curvature bounded from below G De Philippis, N Gigli Journal de l’École polytechnique—Mathématiques 5, 613-650, 2018 | 36 | 2018 |
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 (2), 473-568, 2015 | 35 | 2015 |
On a conjecture of Cheeger G De Philippis, A Marchese, F Rindler arXiv preprint arXiv:1607.02554, 2016 | 33 | 2016 |
A short proof of the minimality of Simons cone G De Philippis, E Paolini Rendiconti del Seminario Matematico della Università di Padova 121, 233-241, 2009 | 30 | 2009 |
Spectral inequalities in quantitative form L Brasco, G De Philippis arXiv preprint arXiv:1604.05072, 2016 | 29 | 2016 |
From volume cone to metric cone in the nonsmooth setting G De Philippis, N Gigli Geometric and Functional Analysis 26 (6), 1526-1587, 2016 | 28 | 2016 |
Partial regularity for optimal transport maps G De Philippis, A Figalli arXiv preprint arXiv:1209.5640, 2012 | 28 | 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 | 26 | 2020 |
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 | 25 | 2018 |