The monge-ampère equation and its link to optimal transportation

Guido De Philippis; Alessio Figalli

doi:10.1090/S0273-0979-2014-01459-4

The monge-ampère equation and its link to optimal transportation

Guido De Philippis, Alessio Figalli

Mathematics

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

Abstract

We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Ampère type equations arising in that context.

Original language	English (US)
Pages (from-to)	527-580
Number of pages	54
Journal	Bulletin of the American Mathematical Society
Volume	51
Issue number	4
DOIs	https://doi.org/10.1090/S0273-0979-2014-01459-4
State	Published - 2014

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "The monge-amp{\`e}re equation and its link to optimal transportation",

abstract = "We survey old and new regularity theory for the Monge-Amp{\`e}re equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Amp{\`e}re type equations arising in that context.",

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