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Bernstein theorem and regularity for a class of monge-ampére equations

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Jian, Huaiyu
Wang, Xu-Jia

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Lehigh University

Abstract

In this paper we first introduce a transform for convex functions and use it to prove a Bernstein theorem for a Monge-Ampére equation in half space.We then prove the optimal global regularity for a class of Monge-Ampére type equations arising in a numbe

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Journal of Differential Geometry

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2037-12-31