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Guido De Philippis
[dephilipp]
Full Professor, Univesrsity of Padova
arxiv id:
dephilippis_g_1
Available papers (80):
[plain text]
G. De Philippis
-
A. Halavati
-
A. Pigati
(Submitted)
Decay of excess for the abelian Higgs model
(2024)
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. 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)
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)
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)
A. Arroyo-Rabasa
-
G. De Philippis
- J. Hirsch -
F. Rindler
-
A. Skorobogatova
(preprint)
Higher integrability for measures satisfying a PDE constraint
(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)
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
- J. Hirsch (Accepted Paper:
J. Differential Geom.
)
Nonclassical minimizing surfaces with smooth boundary
(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)
C. De Lellis
-
G. De Philippis
- J. Hirsch -
A. Massaccesi
(Accepted Paper:
To apper in Memoirs of the American Mathematical Society
)
On the boundary behavior of mass-minimizing integral currents
(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
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:
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
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