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Continuity estimates for the Monge-Ampere equation

Jian, Huai-Yu; Wang, Xu-Jia

Description

In this paper, we study the regularity of solutions to the Monge-Ampère equation. We prove the log-Lipschitz continuity for the gradient under certain assumptions. We also give a unified treatment for the continuity estimates of the second derivatives. A

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
URI: http://hdl.handle.net/1885/36723
Source: SIAM Journal on Mathematical Analysis
DOI: 10.1137/060669036

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