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On the structure of A-free measures and applications

Annals of mathematics, 2016-11, Vol.184 (3), p.1017-1039

2016

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

1st Edition 2021, 2021

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On the two-state problem for general differential operators

Nonlinear analysis, 2018-12, Vol.177, p.387-396

2018

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The sharp quantitative isocapacitary inequality

Revista matemática iberoamericana, 2021-08, Vol.37 (6), p.2191-2228

2021

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Regularity of Optimal Transport Maps and Applications

Philippis, Guido

2013., 2013

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Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints

Advances in calculus of variations, 2020-07, Vol.13 (3), p.219-255

2020

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On the structure of \mathscr A-free measures and applications

Annals of mathematics, 2016-11, Vol.184 (3), p.1017-1039

2016

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Shape optimization and spectral theory

Henrot, Antoine

1st edition, 2017

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Fine properties of functions of bounded deformation-an approach via linear PDEs

Mathematics in engineering, 2020-01, Vol.2 (3), p.386-422

2020

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The Monge–Ampère equation and its link to optimal transportation

Bulletin (new series) of the American Mathematical Society, 2014-10, Vol.51 (4), p.527-580

2014

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Non-collapsed spaces with Ricci curvature bounded from below

Journal de l’École polytechnique — Mathématiques, 2018, Vol.5, p.613-650

2018

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

Communications on pure and applied mathematics, 2024-08, Vol.77 (8), p.3581-3627

2024

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Optimal regularity of the convex envelope

Transactions of the American Mathematical Society, 2015-06, Vol.367 (6), p.4407-4422

2015

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

Communications on pure and applied mathematics, 2024-07, Vol.77 (7), p.3184-3226

2024

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Faber–Krahn inequalities in sharp quantitative form

Duke mathematical journal, 2015, Vol.164 (9), p.1777-1831

2015

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Rigidity and stability of Caffarelli’s log-concave perturbation theorem

Nonlinear analysis, 2017-05, Vol.154, p.59-70

2017

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Regularity of capillarity droplets with obstacle

Transactions of the American Mathematical Society, 2024-08

2024

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Unique continuation for differential inclusions

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2024-10

2024

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On singular strictly convex solutions to the Monge-Ampère equation

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2024-03, p.10

2024

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A note on Petty's theorem

Kodai mathematical journal, 2014, Vol.37 (3), p.586-594

2014

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A Short Proof of Allard’s and Brakke’s Regularity Theorems

International mathematics research notices, 2024-05, Vol.2024 (9), p.7594-7613

2024

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

Communications in analysis and geometry, 2022-01, Vol.30 (4), p.815-842

2022

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Dimensional estimates for singular sets in geometric variational problems with free boundaries

Journal für die reine und angewandte Mathematik, 2017-04, Vol.2017 (725), p.217-234

2017

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Positive solutions to the sublinear Lane-Emden equation are isolated

Communications in partial differential equations, 2021-09, Vol.46 (10), p.1940-1972

2021

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Rectifiability of Varifolds with Locally Bounded First Variation with Respect to Anisotropic Surface Energies

Communications on pure and applied mathematics, 2018-06, Vol.71 (6), p.1123-1148

2018

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On the structure of A-free measures and applications

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

On the two-state problem for general differential operators

The sharp quantitative isocapacitary inequality

Regularity of Optimal Transport Maps and Applications

Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints

On the structure of \mathscr A-free measures and applications

Shape optimization and spectral theory

Fine properties of functions of bounded deformation-an approach via linear PDEs

The Monge–Ampère equation and its link to optimal transportation

Non-collapsed spaces with Ricci curvature bounded from below

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

Optimal regularity of the convex envelope

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

Faber–Krahn inequalities in sharp quantitative form

Rigidity and stability of Caffarelli’s log-concave perturbation theorem

Regularity of capillarity droplets with obstacle

Unique continuation for differential inclusions

On singular strictly convex solutions to the Monge-Ampère equation

A note on Petty's theorem

A Short Proof of Allard’s and Brakke’s Regularity Theorems

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

Dimensional estimates for singular sets in geometric variational problems with free boundaries

Positive solutions to the sublinear Lane-Emden equation are isolated

Rectifiability of Varifolds with Locally Bounded First Variation with Respect to Anisotropic Surface Energies

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