The Monge-ampère Equation and Its Link to Optimal Transportation

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. 

4 Figures & Tables

Statistics

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Citations per Year

Citation Velocity: 9

Averaging 9 citations per year over the last 3 years.

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