Guido De Philippis

About Guido De Philippis

Guido De Philippis, With an exceptional h-index of 26 and a recent h-index of 22 (since 2020), a distinguished researcher at Scuola Internazionale Superiore di Studi Avanzati, specializes in the field of Calculus of Variations, Geometric Measure Theory, PDE.

His recent articles reflect a diverse array of research interests and contributions to the field:

(Quasi-) conformal methods in two-dimensional free boundary problems

Regularity of capillarity droplets with obstacle

From energy bounds to dimensional estimates in a branched transport model for type-I superconductors

Unique continuation for differential inclusions

On singular strictly convex solutions to the Monge-Amp\ere equation

Regularity of minimizers for a model of charged droplets

A short proof of Allard's and Brakke's regularity theorems

The behavior of harmonic functions at singular points of spaces

Guido De Philippis Information

University

Position

___

Citations(all)

2470

Citations(since 2020)

1630

Cited By

1569

hIndex(all)

26

hIndex(since 2020)

22

i10Index(all)

52

i10Index(since 2020)

47

Email

University Profile Page

Scuola Internazionale Superiore di Studi Avanzati

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Guido De Philippis Skills & Research Interests

Calculus of Variations

Geometric Measure Theory

PDE

Top articles of Guido De Philippis

Title

Journal

Author(s)

Publication Date

(Quasi-) conformal methods in two-dimensional free boundary problems

Journal of the European Mathematical Society

Guido De Philippis

Luca Spolaor

Bozhidar Velichkov

2024/3/19

Regularity of capillarity droplets with obstacle

Transactions of the American Mathematical Society

Guido De Philippis

Nicola Fusco

Massimiliano Morini

2024

From energy bounds to dimensional estimates in a branched transport model for type-I superconductors

arXiv preprint arXiv:2304.12715

Guido De Philippis

Michael Goldman

Berardo Ruffini

2023/4/25

Unique continuation for differential inclusions

arXiv preprint arXiv:2312.05022

Guido De Philippis

André Guerra

Riccardo Tione

2023/12/8

On singular strictly convex solutions to the Monge-Amp\ere equation

arXiv preprint arXiv:2311.08848

Guido De Philippis

Riccardo Tione

2023/11/15

Regularity of minimizers for a model of charged droplets

Communications in Mathematical Physics

Guido de Philippis

Jonas Hirsch

Giulia Vescovo

2023/7

A short proof of Allard's and Brakke's regularity theorems

arXiv preprint arXiv:2306.02490

Guido De Philippis

Carlo Gasparetto

Felix Schulze

2023/6/4

The behavior of harmonic functions at singular points of spaces

manuscripta mathematica

Guido De Philippis

Jesús Núñez-Zimbrón

2023/5

Non‐degenerate minimal submanifolds as energy concentration sets: A variational approach

Communications on Pure and Applied Mathematics

Guido De Philippis

Alessandro Pigati

2022

On the converse of Pansu's Theorem

arXiv preprint arXiv:2211.06081

Guido De Philippis

Andrea Marchese

Andrea Merlo

Andrea Pinamonti

Filip Rindler

2022/11/11

The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces

Communications on Pure and Applied Mathematics

Guido De Philippis

Antonio De Rosa

2022

Nonclassical minimizing surfaces with smooth boundary

Journal of Differential Geometry

Camillo De Lellis

Guido De Philippis

Jonas Hirsch

2022/10

Closed geodesics on reversible Finsler 2-spheres

Journal of Fixed Point Theory and Applications

Guido De Philippis

Michele Marini

Marco Mazzucchelli

Stefan Suhr

2022/6

A two-point function approach to connectedness of drops in convex potentials

Communications in Analysis and Geometry

Guido De Philippis

Michael Goldman

2022

Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries

arXiv preprint arXiv:2107.12485

Guido De Philippis

Max Engelstein

Luca Spolaor

Bozhidar Velichkov

2021/7/26

Geometric measure theory and differential inclusions

Annales de la Faculté des sciences de Toulouse : Mathématiques

Camillo De Lellis

Guido De Philippis

Bernd Kirchheim

Riccardo Tione

2021/12/6

Higher integrability for measures satisfying a PDE constraint

arXiv preprint arXiv:2106.03077

Adolfo Arroyo-Rabasa

Guido De Philippis

Jonas Hirsch

Filip Rindler

Anna Skorobogatova

2021/6/6

Regularity of free boundaries in obstacle problems

Geometric Measure Theory and Free Boundary Problems: Cetraro, Italy 2019

Guido De Philippis

Xavier Ros-Oton

Georg S Weiss

Xavier Ros-Oton

2021

Geometric Measure Theory and Free Boundary Problems: Cetraro, Italy 2019

Guido De Philippis

Xavier Ros-Oton

Georg S Weiss

2021

Bernoulli type free boundary problems and water waves

Geometric Measure Theory and Free Boundary Problems: Cetraro, Italy 2019

Guido De Philippis

Xavier Ros-Oton

Georg S Weiss

Georg S Weiss

2021

See List of Professors in Guido De Philippis University(Scuola Internazionale Superiore di Studi Avanzati)