Regularity of optimal transport maps and partial differential inclusions

Luigi Ambrosio; Guido De Philippis; Bernd Kirchheim

doi:10.4171/RLM/602

Regularity of optimal transport maps and partial differential inclusions

Luigi Ambrosio, Guido De Philippis, Bernd Kirchheim

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this work we address the issue of Sobolev regularity of solutions of Monge-Ampere equations in a borderline case and show how this question is related to a rigidity problem for partial differential inclusions.

Original language	English (US)
Pages (from-to)	311-336
Number of pages	26
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	22
Issue number	3
DOIs	https://doi.org/10.4171/RLM/602
State	Published - 2011

Keywords

Monge-Ampere equations
Optimal transportation
Partial differential inclusions

ASJC Scopus subject areas

General Mathematics

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10.4171/RLM/602

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Regularity of optimal transport maps and partial differential inclusions. / Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd.
In: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, Vol. 22, No. 3, 2011, p. 311-336.

Research output: Contribution to journal › Article › peer-review

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Regularity of optimal transport maps and partial differential inclusions

Abstract

Keywords

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