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Dive into the research topics where Guido De Philippis is active.

Publication


Featured researches published by Guido De Philippis.


Manuscripta Mathematica | 2011

Gamma-convergence of nonlocal perimeter functionals

Luigi Ambrosio; Guido De Philippis; Luca Martinazzi

Given


Bulletin of the American Mathematical Society | 2014

The Monge–Ampère equation and its link to optimal transportation

Guido De Philippis


Duke Mathematical Journal | 2015

Faber–Krahn inequalities in sharp quantitative form

Lorenzo Brasco; Guido De Philippis; Bozhidar Velichkov

{\Omega\subset\mathbb{R}^{n}}


Communications in Partial Differential Equations | 2012

Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

Luigi Ambrosio; Maria Colombo; Guido De Philippis


Rendiconti del Seminario Matematico della Università di Padova | 2009

A Short Proof of the Minimality of Simons Cone

Guido De Philippis; Emanuele Paolini

open, connected and with Lipschitz boundary, and


Geometric and Functional Analysis | 2016

From volume cone to metric cone in the nonsmooth setting

Guido De Philippis; Nicola Gigli


Communications in Partial Differential Equations | 2015

Kinetic Formulation and Uniqueness for Scalar Conservation Laws with Discontinuous Flux

Graziano Crasta; Virginia De Cicco; Guido De Philippis

{s\in (0, 1)}


Archive for Rational Mechanics and Analysis | 2016

Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness

Graziano Crasta; Virginia De Cicco; Guido De Philippis; Francesco Ghiraldin


Transactions of the American Mathematical Society | 2014

Optimal regularity of the convex envelope

Guido De Philippis

, we consider the functional


Manuscripta Mathematica | 2013

A nonautonomous chain rule in W1,p and BV

Luigi Ambrosio; Graziano Crasta; Virginia De Cicco; Guido De Philippis

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Bozhidar Velichkov

Scuola Normale Superiore di Pisa

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Luigi Ambrosio

Scuola Normale Superiore di Pisa

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Graziano Crasta

Sapienza University of Rome

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Virginia De Cicco

Sapienza University of Rome

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Lorenzo Brasco

Aix-Marseille University

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Nicola Gigli

University of Nice Sophia Antipolis

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