NDLI: The Dirichlet Problem of Hessian Equation in Exterior Domains

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The Dirichlet Problem of Hessian Equation in Exterior Domains

Content Provider	MDPI
Author	Li, Hongfei Dai, Limei
Copyright Year	2020
Description	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 $detD2u=f(x)$ .
Starting Page	666
e-ISSN	22277390
DOI	10.3390/math8050666
Journal	Mathematics
Issue Number	5
Volume Number	8
Language	English
Publisher	MDPI
Publisher Date	2020-04-28
Access Restriction	Open
Subject Keyword	Mathematics Mathematical Physics Exterior Dirichlet Problem Asymptotic Behavior Hessian Equation Viscosity Solution
Content Type	Text
Resource Type	Article

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