Guido De Philippis
[dephilipp]
Full Professor, University of Padova
arxiv id: dephilippis_g_1
Available papers (80):
[plain text]- G. De Philippis - A. De Rosa - Y. Li (preprint)
Existence and regularity of min-max anisotropic minimal hypersurfaces (2024) - G. De Philippis - L. Spolaor - B. Velichkov (J. Eur. Math. Soc.)
(Quasi-)conformal methods in two-dimensional free boundary problems (2024) - G. De Philippis - Y. Shenfeld (Preprint)
Optimal transport maps, majorization, and log-subharmonic measures (2024) - G. De Philippis - A. Halavati - A. Pigati (Accepted Paper: Journal of the European Mathematical Society)
Decay of excess for the abelian Higgs model (2024) - G. De Philippis - A. De Rosa (Comm. Pure App. Math.)
The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces (2023) - G. De Philippis - C. Gasparetto - F. Schulze (International Mathematics Research Notices)
A short proof of Allard’s and Brakke’s regularity theorems (2023) - G. De Philippis - R. Tione (Annali della Scuola Normale di Pisa - Classe di Scienze)
On singular strictly convex solutions to the Monge-Ampere equation (2023) - C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (Accepted Paper: Memoirs of the American Mathematical Society)
On the boundary behavior of mass-minimizing integral currents (2023) - G. De Philippis - A. Guerra - R. Tione (Annales de l'Institut Henri Poincaré C)
Unique continuation for differential inclusions (2023) - G. De Philippis - M. Goldman - B. Ruffini (Accepted Paper: American Journal of Mathematics)
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors (2023) - G. De Philippis - N. Fusco - M. Morini (Submitted Paper)
Regularity of capillarity droplets with obstacle (2022) - G. De Philippis - A. Pigati (preprint)
Non-degenerate minimal submanifolds as energy concentration sets: a variational approach (2022) - G. De Philippis - A. Marchese - A. Merlo - A. Pinamonti - F. Rindler (ARMA)
On the converse of Pansu's Theorem (2022) - C. De Lellis - G. De Philippis - J. Hirsch (J. Differential Geom.)
Nonclassical minimizing surfaces with smooth boundary (2022) - G. De Philippis - M. Engelstein - L. Spolaor - B. Velichkov (Preprint)
Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries (2021) - L. De Masi - G. De Philippis (preprint)
Min-max construction of minimal surfaces with a fixed angle at the boundary (2021) - L. Brasco - G. De Philippis - G. Franzina (Accepted Paper: Comm. Partial Differential Equations)
Positive solutions to the sublinear Lane-Emden equation are isolated (2021) - G. De Philippis - L. Spolaor - B. Velichkov (Inventiones mathematicae)
Regularity of the free boundary for the two-phase Bernoulli problem (2021) - A. Arroyo-Rabasa - G. De Philippis - J. Hirsch - F. Rindler - A. Skorobogatova (preprint)
Higher integrability for measures satisfying a PDE constraint (2021) - G. De Philippis - M. Marini - M. Mazzucchelli - S. Suhr (Preprint)
Closed geodesics on reversible Finsler 2-spheres (2020) - G. De Philippis - A. De Rosa - F. Ghiraldin (J. Geom. Anal.)
Existence results for minimizers of parametric elliptic functionals (2020) - G. De Philippis - M. Marini - E. Mukoseeva (Submitted Paper)
The sharp quantitative isocapacitary inequality (2019) - G. De Philippis - A. De Rosa - J. Hirsch (Discrete Contin. Dyn. Syst.)
The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals (2019) - G. De Philippis - J. Hirsch - G. Vescovo (Accepted Paper: Comm. Math. Phys.)
Regularity of minimizers for a model of charged droplets (2019) - G. De Philippis - A. Pratelli (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
The closure of planar diffeomorphisms in Sobolev spaces (2019) - G. De Philippis - J. Núñez-Zimbrón (preprint)
The behavior of harmonic functions at singular points of $\mathsf{RCD}$ spaces (2019) - C. De Lellis - G. De Philippis - B. Kirchheim - R. Tione (Annales de la Faculte' des Sciences de Toulouse)
Geometric measure theory and differential inclusions (2019) - G. De Philippis - F. Rindler (Survey paper)
Fine properties of functions of bounded deformation -- an approach via linear PDEs (2019) - A. Arroyo-Rabasa - G. De Philippis - J. Hirsch - F. Rindler (Accepted Paper: Geom. Funct. Anal.)
Dimensional estimates and rectifiability for measures satisfying linear PDE constraints (2018) - G. De Philippis - T. Laux (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci)
Implicit time discretization for the mean curvature flow of outward minimizing sets (2018) - G. De Philippis - A. De Rosa - F. Ghiraldin (Comm. Pure App. Math.)
Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies (2018) - M. Goldman - G. De Philippis (Accepted Paper: CAG)
A two-point function approach to connectedness of drops in convex potentials (2018) - G. De Philippis - L. Palmieri - F. Rindler (Accepted Paper: Nonlinear Anal.)
On the two-state problem for general differential operators (2018) - A. Arroyo-Rabasa - G. De Philippis - F. Rindler (Accepted Paper: Adv. Calc. Var)
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints (2017) - G. De Philippis - F. Rindler (Proceedings)
On the structure of measures constrained by linear PDEs (2017) - G. De Philippis - N. Fusco - A. Pratelli (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
On the approximation of SBV functions (2017) - C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (Matrix Annals)
Boundary regularity of mass-minimizing integral currents and a question of Almgren (2017) - G. De Philippis - N. Gigli (Preprint)
Non-collapsed spaces with Ricci curvature bounded from below (2017) - G. De Philippis - A. Figalli (Nonlinear Anal.)
Rigidity and stability of Caffarelli's log-concave perturbation theorem (2017) - G. De Philippis (Proceedings of the 7ECM)
On the singular part of measures constrained by linear PDEs and applications (2016) - G. De Philippis - A. Marchese - F. Rindler (Accepted Paper)
On a conjecture of Cheeger (2016) - L. Brasco - G. De Philippis (Book Chapter)
Spectral inequalities in quantitative form (2016) - G. De Philippis - F. Rindler (Accepted Paper: Arch. Ration. Mech. An.)
Characterization of generalized Young measures generated by symmetric gradients (2016) - G. Crasta - V. De Cicco - G. De Philippis - F. Ghiraldin (Accepted Paper: Arch. Ration. Mech. An.)
Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness (2016) - G. De Philippis - F. Rindler (Accepted Paper: Ann. of Math. )
On the structure of ${\mathscr A}$-free measures and applications (2016) - G. De Philippis - G. Franzina - A. Pratelli (Journal of Geometric Analysis)
Existence of isoperimetric sets with densities ''converging from below'' on $\mathbb R^N$ (2016) - G. De Philippis - S. Di Marino - M. Focardi (Proceedings of the Royal Society of Edinburgh)
Lower semicontinuity for non-coercive polyconvex integrals in the limit case (2016) - G. De Philippis - J. Lamboley - M. Pierre - B. Velichkov (J. Math. Pures Appl.)
Regularity of Minimizers of Shape Optimization Problems involving Perimeter (2016) - G. De Philippis - A. De Rosa - F. Ghiraldin (Adv. in Math.)
A direct approach to Plateau's problem in any codimension (2016) - L. Brasco - G. De Philippis - B. Velichkov (Duke Math. J.)
Faber-Krahn inequalities in sharp quantitative form (2015) - N. Gigli - G. De Philippis (Accepted Paper: Geom. Funct. Anal.)
From volume cone to metric cone in the nonsmooth setting (2015) - G. De Philippis - A. Figalli (Trans. Amer. Math. Soc.)
Optimal regularity of the convex envelope (2015) - G. De Philippis - A. Figalli (Publ. Math. Inst. Hautes Études Sci.)
Partial Regularity for optimal transport maps (2015) - G. De Philippis - A. Figalli (Differential Integral Equations)
A note on the dimension of the singular set in free interface problems (2015) - G. De Philippis - A. R. Mészáros - F. Santambrogio - B. Velichkov (Arch. Rat. Mech. Anal.)
BV Estimates in Optimal Transportation and Applications (2015) - G. De Philippis - M. Marini (Accepted Paper: Kodai Mathematical Journal)
A note on Petty's Theorem (2014) - G. De Philippis - A. Figalli (Springer INdAM series)
Partial regularity results in optimal transportation (2014) - G. De Philippis - F. Maggi (Accepted Paper: J. Reine Angew. Math.)
Dimensional estimates for singular sets in geometric variational problems with free boundaries (2014) - G. Crasta - V. De Cicco - G. De Philippis (Accepted Paper: Comm. in P.D.E.)
Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux (2014) - G. De Philippis - F. Maggi (Accepted Paper: Arch. Ration. Mech. Anal.)
Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law (2014) - G. De Philippis - A. Figalli (Accepted Paper: Bull. Amer. Math. Soc.)
The Monge-Ampère equation and its link to optimal transportation (2014) - G. De Philippis - B. Velichkov (Appl. Math. Optim. )
Existence and regularity of minimizers for some spectral functionals with perimeter constraint (2014) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Discrete Contin. Dyn. Syst.)
A global existence result for the semigeostrophic equations in three dimensional convex domains (2014) - G. De Philippis - A. Figalli (Arch. Ration. Mech. Anal.)
Higher integrability for minimizers of the Mumford-Shah functional (2014) - F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: Anal. PDE)
Rigidity of equality cases in Steiner's perimeter inequality (2013) - F. Cagnetti - M. Colombo - G. De Philippis - F. Maggi (Accepted Paper: J. Eur. Math. Soc.)
Essential connectedness and the rigidity problem for Gaussian symmetrization (2013) - G. De Philippis - A. Figalli (Invent. Math.)
$W^{2,1}$ regularity for solutions of the Monge-Ampère equation (2013) - G. De Philippis - A. Figalli - O. Savin (Math. Ann.)
A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation (2013) - G. De Philippis - A. Figalli (Anal. PDE)
Second order stability for the Monge-Ampere equation and strong Sobolev convergence of optimal transport maps (2013) - G. De Philippis - A. Figalli (SIAM J. Math. Anal.)
Sobolev regularity for Monge-Ampère type equations (2013) - G. De Philippis (Phd Thesis)
Regularity of optimal transport maps and applications (2012) - L. Ambrosio - G. Crasta - V. De Cicco - G. De Philippis (Accepted Paper: Manuscripta Math.)
A nonautonomous chain rule in $W^{1,p}$ and in $BV$ (2012) - L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli (Comm. Partial Differential Equations)
Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case (2012) - L. Ambrosio - G. De Philippis - B. Kirchheim (Rend. Lincei - Mat. e Appl.)
Regularity of optimal transport maps and partial differential inclusions (2011) - G. De Philippis - F. Maggi (Accepted Paper: J. Differential Geom.)
Sharp stability inequalities for the Plateau problem (2011) - L. Ambrosio - G. De Philippis - L. Martinazzi (Manuscripta Math.)
Gamma-convergence of nonlocal perimeter functionals (2011) - F. Charro - G. De Philippis - A. Di Castro - D. Maximo (Accepted Paper: Calc. Var. Partial Differential Equations)
On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian (2011) - L. Brasco - G. De Philippis - B. Ruffini (J. Funct. Anal.)
Spectral optimization for the Stekloff--Laplacian: the stability issue (2011) - G. De Philippis (Accepted Paper: ESAIM Control Optim. Calc. Var)
Weak notions of Jacobian determinant and relaxation (2010) - G. De Philippis - E. Paolini (Rend. Sem. Mat. Univ. Padova)
A short proof of the minimality of Simons cone (2009)
Seminars:
- 6 sep 2021: Multilinear Kakeya and Michael-Simon inequality for anisotropic stationary varifolds - (online)
- 16 apr 2014: Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
- 16 nov 2011: Tug of War game, non variational p-Laplacian and Aleksandrov Bakelman Pucci estimates for the infinity Laplacian
- 2 feb 2011: Regularity of optimal transport maps and partial differential inclusions
Speaker:
- 20 apr 2026 - 23 apr 2026: Valentia Geometrica 2026: a workshop on Geometric Analysis
- 16 mar 2026 - 17 mar 2026: Optimal Transport in GMT - Geometric Measure Theory in OT
- 30 jun 2025 - 4 jul 2025: Topics in Geometric Measure Theory
- 23 jun 2025 - 27 jun 2025: International geometric analysis conference in Milan
- 13 nov 2024 - 15 nov 2024: PDE Festival@UniMi
- 3 jul 2023 - 7 jul 2023: 19th School on Interactions between Dynamical Systems and Partial Differential Equations (JISD2023)
- 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
- 5 jun 2023 - 9 jun 2023: Vito Volterra Meeting 2023 in Calculus of Variations
- 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023
- 14 dec 2021 - 17 dec 2021: Chaire De La Vallée Poussin prize lectures 2020/21
- 6 sep 2021 - 10 sep 2021: Variational methods and applications
- 21 jun 2021 - 25 jun 2021: Tenth Summer School in Analysis and Applied Mathematics (CANCELLED)
- 13 jul 2020 - 17 jul 2020: Tenth Summer School in Analysis and Applied Mathematics - POSTPONED TO JUNE 2021
- 27 jan 2020 - 1 feb 2020: Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
- 2 sep 2019 - 6 sep 2019: CIME Course "Geometric Measure Theory and Applications: From Geometric Analysis to Free Boundary Problems"
- 14 jan 2019 - 17 jan 2019: Alessio Figalli, Fields medallist 2018
- 18 may 2018 - 18 may 2018: Celebrating the 25th anniversary of "Calculus of Variations and Partial Differential Equations"
- 26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
- 14 dec 2015 - 18 dec 2015: Trilateral Meeting on Nonlinear Partial Differential Equations and Applications
- 13 apr 2015 - 5 may 2015: The Monge-Ampère equation
- 10 jun 2014 - 13 jun 2014: Nonlinear partial differential equations and stochastic methods
- 7 oct 2013 - 11 oct 2013: ERC-Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis
- 15 jul 2013 - 2 aug 2013: School and Workshop on "Geometric Measure Theory and Optimal Transport"
- 5 nov 2012 - 9 nov 2012: ERC Workshop on Optimal Transportation and Applications
- 4 sep 2012 - 7 sep 2012: Meeting on Applied Mathematics and Calculus of Variations
- 18 jun 2012 - 22 jun 2012: Optimal Transport (to) Orsay
- 16 dec 2011 - 16 dec 2011: Journée thématique "Calcul des Variations"
Organizer:
- 15 jun 2026 - 19 jun 2026: Nonlinear Evolution Equation and Control: celebrating Alberto's 70th birthday
- 18 nov 2020 - 15 sep 2021: NCTS International Geometric Measure Theory Seminar
- 11 jun 2018 - 15 jun 2018: Geometric Measure Theory in Verona
- 3 jul 2017 - 6 jul 2017: Recent Advances in PDEs and the Calculus of Variations
- 25 oct 2016 - 28 oct 2016: Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries
- 16 jun 2014 - 20 jun 2014: Isoperimetric Problems Between Analysis and Geometry