Gamma-convergence of nonlocal perimeter functionals L Ambrosio, G De Philippis, L Martinazzi arXiv preprint arXiv:1007.3770, 2010 | 201 | 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 | 157 | 2014 |

On the structure of 𝓐-free measures and applications G De Philippis, F Rindler Annals of Mathematics, 1017-1039, 2016 | 126 | 2016 |

W 2, 1 regularity for solutions of the Monge–Ampère equation G De Philippis, A Figalli Inventiones mathematicae 192 (1), 55-69, 2013 | 111 | 2013 |

Faber–Krahn inequalities in sharp quantitative form L Brasco, G De Philippis, B Velichkov Duke Mathematical Journal 164 (9), 1777-1831, 2015 | 94 | 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 | 84 | 2018 |

A note on interior estimates for the Monge–Ampère equation G De Philippis, A Figalli, O Savin Mathematische Annalen 357 (1), 11-22, 2013 | 56 | 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 |

On a conjecture of Cheeger G De Philippis, A Marchese, F Rindler arXiv preprint arXiv:1607.02554, 2016 | 55 | 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 | 53 | 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 (2), 473-568, 2015 | 52 | 2015 |

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 | 51 | 2014 |

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 |

Spectral inequalities in quantitative form L Brasco, G De Philippis arXiv preprint arXiv:1604.05072, 2016 | 46 | 2016 |

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 | 45 | 2016 |

Partial regularity for optimal transport maps G De Philippis, A Figalli arXiv preprint arXiv:1209.5640, 2012 | 43 | 2012 |

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 |

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 | 41 | 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 | 39 | 2018 |

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 (3), 639-658, 2019 | 38 | 2019 |