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arXiv:1802.07518 [math.AP]AbstractReferencesReviewsResources

Global regularity for the Monge-Ampère equation with natural boundary condition

Shibing Chen, Jiakun Liu, Xu-Jia Wang

Published 2018-02-21Version 1

In this paper, we establish the global $C^{2,\alpha}$ and $W^{2,p}$ regularity for the Monge-Amp\`ere equation subject to a natural boundary condition arising in optimal transportation.

Categories: math.AP
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