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arXiv · 1310.6167

The Monge-Ampère equation and its link to optimal transportation

Guido De Philippis·Alessio Figalli
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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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Guido De Philippis, Alessio Figalli. 2013-10-23. The Monge-Ampère equation and its link to optimal transportation. https://arxiv.org/abs/1310.6167

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