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Existence and nonexistence to exterior Dirichlet...
Journal article

Existence and nonexistence to exterior Dirichlet problem for Monge–Ampère equation

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.

Authors

Li Y; Lu S

Journal

Calculus of Variations and Partial Differential Equations, Vol. 57, No. 6,

Publisher

Springer Nature

Publication Date

12 2018

DOI

10.1007/s00526-018-1428-5

ISSN

0944-2669