Global W^2,1+ε estimates for Monge-Ampère equation with natural boundary condition

2018/11/29 by Savin, Ovidiu, Yu, Hui
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.12531

Abstract

For the Monge-Ampère equation with a right-hand side bounded away from 0 and infinity, we show that the solution, subject to the natural boundary condition arising in optimal transport, is in W^2,1+ε up to the boundary.

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