Calculus of Variations and Geometric Measure Theory
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G. De Philippis - A. Figalli

The Monge-Ampère equation and its link to optimal transportation

created by dephilipp on 23 Oct 2013
modified by figalli on 29 Oct 2014

[BibTeX]

Accepted Paper

Inserted: 23 oct 2013
Last Updated: 29 oct 2014

Journal: Bull. Amer. Math. Soc.
Year: 2014

Abstract:

We survey the (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.


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