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arxiv: 1310.6167 · v1 · pith:4GYKTCS2new · submitted 2013-10-23 · 🧮 math.AP

The Monge-Amp\`ere equation and its link to optimal transportation

classification 🧮 math.AP
keywords monge-ampequationoptimalregularitytransportationarisingclassconnection
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We survey the (old and new) regularity theory for the Monge-Amp\`ere equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Amp\`ere type equations arising in that context.

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