The Dirichlet Problem of Hessian Equation in Exterior Domains

In this paper, we will obtain the existence of viscosity solutions to the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity by the Perron’s method. This extends the Ju–Bao results on Monge–Ampère equations <inline-formula> <math display="i...

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Bibliographic Details
Main Authors: Hongfei Li, Limei Dai
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/666