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. © 2014 American Mathematical Society.
The Monge-Ampere Equation and its link to Optimal Transportation
De Philippis, Guido;
2014-01-01
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. © 2014 American Mathematical Society.File in questo prodotto:
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