Asymptotic behavior of solutions of fully nonlinear equations over exterior domains

In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at infinity and $f(x)=O(|x|^{-t})$ at infinity with sh...

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Bibliographic Details
Main Author: Jia, Xiaobiao
Format: Article
Language:English
Published: Académie des sciences 2021-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.138/