Gamma-convergence of nonlocal perimeter functionals L Ambrosio, GD Philippis, L Martinazzi manuscripta mathematica 134 (3), 377-403, 2011 | 131 | 2011 |

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 | 96 | 2014 |

On the structure of 𝓐-free measures and applications G De Philippis, F Rindler Annals of Mathematics, 1017-1039, 2016 | 69 | 2016 |

*W* ^{2,1} regularity for solutions of the Monge–Ampère equationG De Philippis, A Figalli Inventiones mathematicae 192 (1), 55-69, 2013 | 69 | 2013 |

Faber–Krahn inequalities in sharp quantitative form L Brasco, G De Philippis, B Velichkov Duke Mathematical Journal 164 (9), 1777-1831, 2015 | 47 | 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 | 47 | 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 | 42 | 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 | 38 | 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 | 33 | 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 | 29 | 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 | 29 | 2015 |

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 | 28 | 2012 |

Partial regularity for optimal transport maps G De Philippis, A Figalli arXiv preprint arXiv:1209.5640, 2012 | 27 | 2012 |

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 | 26 | 2009 |

On a conjecture of Cheeger G De Philippis, A Marchese, F Rindler Measure theory in non-smooth spaces, 145-155, 2017 | 24 | 2017 |

From volume cone to metric cone in the nonsmooth setting G De Philippis, N Gigli Geometric and Functional Analysis 26 (6), 1526-1587, 2016 | 22 | 2016 |

Sharp stability inequalities for the Plateau problem G De Philippis, F Maggi Journal of Differential Geometry 96 (3), 399-456, 2014 | 21 | 2014 |

A direct approach to Plateau's problem in any codimension G De Philippis, A De Rosa, F Ghiraldin Advances in Mathematics 288, 59-80, 2016 | 20 | 2016 |

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, 2017 | 19 | 2017 |

Second order stability for the Monge–Ampère equation and strong Sobolev convergence of optimal transport maps G De Philippis, A Figalli Analysis & PDE 6 (4), 993-1000, 2013 | 19 | 2013 |