Guido De Philippis

Applied Mathematics · 2009–2018

A researcher in the Science corpus: 18 papers; trusts 58 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 172 citations into it; #835 of 7,620 by trust here, #595 by citations
• Geometry and Topology — 82 citations into it; #1,292 of 7,422 by trust here, #501 by citations
• Computational Theory and Mathematics — 46 citations into it; #6,220 of 12,182 by trust here, #3,117 by citations
• Mathematical Physics — 38 citations into it; #2,135 of 8,562 by trust here, #2,122 by citations
• Astronomy and Astrophysics — 28 citations into it; #7,577 of 10,964 by trust here, #8,953 by citations
• Computational Mechanics — 9 citations into it
• Statistical and Nonlinear Physics — 7 citations into it
• Control and Systems Engineering — 5 citations into it

Whom Guido De Philippis trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Alessio Figalli
2. Grégoire Loeper
3. Luigi Ambrosio
4. Nicola Gigli
5. Neil S. Trudinger
6. Cédric Villani
7. Robert J. McCann
8. Giuseppe Savar'e
9. Giovanni S. Alberti
10. B. Kirchheim

Who trusts Guido De Philippis overall

1. Nicola Gigli
2. Alessio Figalli
3. Filippo Santambrogio
4. Martin Kell
5. Connor Mooney
6. Enrico Pasqualetto
7. Adolfo Arroyo-Rabasa
8. Luigi Ambrosio
9. Elia Brué
10. Andrea Mondino

Papers from Guido De Philippis's perspective

Ordered by how strongly the researchers Guido De Philippis trusts endorse each paper. Same corpus, a different order for every researcher.

1. Regularity of Potential Functions of the Optimal Transportation Problem
2. On the geometry of metric measure spaces. II
3. Topics in Optimal Transportation
4. A Convexity Principle for Interacting Gases
5. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
6. Polar factorization of maps on Riemannian manifolds
7. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
8. On the regularity of solutions of optimal transportation problems
9. On the second boundary value problem for Monge-Ampère type equations and optimal transportation
10. Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces

Their papers

• Gamma-convergence of nonlocal perimeter functionals (2010) — 230 citations
• Faber–Krahn inequalities in sharp quantitative form (2013) — 132 citations
• Spectral optimization for the Stekloff--Laplacian: the stability issue (2012) — 61 citations
• Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (2018) — 60 citations
• Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints (2017) — 60 citations
• Non-collapsed spaces with Ricci curvature bounded from below (2017) — 159 citations
• On the structure of A-free measures and applications (2016) — 162 citations
• On a conjecture of Cheeger (2016) — 67 citations
• BV Estimates in Optimal Transportation and Applications (2015) — 70 citations
• From volume cone to metric cone in the nonsmooth setting (2015) — 86 citations
• Regularity of Free Boundaries in Anisotropic Capillarity Problems and the Validity of Young’s Law (2014) — 121 citations
• The Monge-Ampère equation (2013) — 95 citations
• W2,1 regularity for solutions of the Monge–Ampère equation (2013) — 80 citations
• The Monge–Ampère equation and its link to optimal transportation (2013) — 200 citations
• A note on interior $$W^{2,1+ \varepsilon }$$estimates for the Monge–Ampère equation (2012) — 52 citations
• Partial regularity for optimal transport maps (2012) — 67 citations
• $W^{2,1}$ regularity for solutions of the Monge-Amp\`ere equation (2011) — 83 citations
• A Short Proof of the Minimality of Simons Cone (2009) — 52 citations