Guido De Philippis
#77,205
Most Influential Person Now
Italian mathematician
Why Is Guido De Philippis Influential?
(Suggest an Edit or Addition)According to Wikipedia, Guido De Philippis is an Italian mathematician. He works on the calculus of variations, partial differential equations and geometric measure theory. In 2016 he was awarded the EMS Prize, "for his outstanding contributions to the regularity of solutions of Monge–Ampère equation and optimal maps and for his deep work on quantitative stability inequalities for the first eigenvalue of the Laplacian and rigidity in some isoperimetric type inequalities.". In 2018 he was awarded the Stampacchia Medal. In 2021 he received the ISAAC award.
Guido De Philippis's Published Works
Published Works
- Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case (2011) (59)
- Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints (2017) (51)
- BV Estimates in Optimal Transportation and Applications (2015) (45)
- Rectifiability of Varifolds with Locally Bounded First Variation with Respect to Anisotropic Surface Energies (2016) (39)
- Regularity of the free boundary for the two-phase Bernoulli problem (2019) (22)
- Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness (2015) (21)
- Kinetic Formulation and Uniqueness for Scalar Conservation Laws with Discontinuous Flux (2014) (20)
- Existence Results for Minimizers of Parametric Elliptic Functionals (2017) (19)
- Higher Integrability for Minimizers of the Mumford–Shah Functional (2013) (16)
- Existence of Isoperimetric Sets with Densities “Converging from Below” on RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docum (2016) (15)
- On the Aleksandrov–Bakelman–Pucci estimate for the infinity Laplacian (2011) (14)
- A nonautonomous chain rule in W1,p and BV (2015) (9)
- Closed geodesics on reversible Finsler 2-spheres (2020) (8)
- Positive solutions to the sublinear Lane-Emden equation are isolated (2019) (6)
- Characterization of Generalized Young Measures Generated by Symmetric Gradients (2017) (3)
- BV Estimates in Optimal Transportation and Applications (2015) (0)
- Higher Integrability for Minimizers of the Mumford–Shah Functional (2014) (0)
- From volume cone to metric cone in the nonsmooth setting (2016) (0)
- A nonautonomous chain rule in W1,p and BV (2012) (0)
- Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (2019) (0)
- Structure of Solutions of Multidimensional Conservation Laws with Discontinuous Flux and Applications to Uniqueness (2016) (0)
- Existence and Regularity of Minimizers for Some Spectral Functionals with Perimeter Constraint (2013) (0)
- Existence Results for Minimizers of Parametric Elliptic Functionals (2019) (0)
- On the Aleksandrov–Bakelman–Pucci estimate for the infinity Laplacian (2012) (0)
- W2,1 regularity for solutions of the Monge–Ampère equation (2012) (0)
- Geometric Measure Theory and Free Boundary Problems (2021) (0)
- Partial regularity for optimal transport maps (2014) (0)
This paper list is powered by the following services:
Other Resources About Guido De Philippis
What Schools Are Affiliated With Guido De Philippis?
Guido De Philippis is affiliated with the following schools: