Existence and nonexistence to exterior Dirichlet problem For Monge-Ampère equation

2018/04/01 by Li, Yanyan, Lu, Siyuan
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.00239

Abstract

We consider the exterior Dirichlet problem for Monge-Ampère equation with prescribed asymptotic behavior. Based on earlier work by Caffarelli and the first named author, we complete the characterization of the existence and nonexistence of solutions in terms of their asymptotic behaviors.

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