On A Class of Degenerate And Singular Monge-Ampère Equations

2019/08/18 by Jian, Huaiyu, Li, You, Tu, Xushan
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.06396

Abstract

In this paper we shall prove the existence, uniqueness and global Holder continuity for the Dirichlet problem of a class of Monge-Ampère type equations which may be degenerate and singular on the boundary of convex domains. We will establish a relation of the Holder exponent for the solutions with the convexity for the domains.

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