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arXiv · 1804.00239

Existence and nonexistence to exterior Dirichlet problem For Monge-Amp\`ere equation

Yanyan Li·Siyuan Lu
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Abstract

We consider the exterior Dirichlet problem for Monge-Amp\`ere 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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Yanyan Li, Siyuan Lu. 2018-04-01. Existence and nonexistence to exterior Dirichlet problem For Monge-Amp\`ere equation. https://arxiv.org/abs/1804.00239

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