Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior

In this paper, the equations and systems of Monge-Ampère with parameters are considered. We first show the uniqueness of of nontrivial radial convex solution of Monge-Ampère equations by using sharp estimates. Then we analyze the existence and nonexistence of nontrivial radial convex solutions to Mo...

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Bibliographic Details
Main Author: Feng Meiqiang
Format: Article
Language:English
Published: De Gruyter 2020-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0139