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Open AccessArticle

The Dirichlet Problem of Hessian Equation in Exterior Domains

by 1 and 2,*
1
College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China
2
School of Mathematics and Information Science, Weifang University, Weifang 261061, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 666; https://doi.org/10.3390/math8050666
Received: 23 March 2020 / Revised: 14 April 2020 / Accepted: 15 April 2020 / Published: 28 April 2020
(This article belongs to the Special Issue Modern Analysis and Partial Differential Equation)
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 det D 2 u = f ( x ) . View Full-Text
Keywords: exterior Dirichlet problem; asymptotic behavior; Hessian equation; viscosity solution exterior Dirichlet problem; asymptotic behavior; Hessian equation; viscosity solution
MDPI and ACS Style

Li, H.; Dai, L. The Dirichlet Problem of Hessian Equation in Exterior Domains. Mathematics 2020, 8, 666. https://doi.org/10.3390/math8050666

AMA Style

Li H, Dai L. The Dirichlet Problem of Hessian Equation in Exterior Domains. Mathematics. 2020; 8(5):666. https://doi.org/10.3390/math8050666

Chicago/Turabian Style

Li, Hongfei; Dai, Limei. 2020. "The Dirichlet Problem of Hessian Equation in Exterior Domains" Mathematics 8, no. 5: 666. https://doi.org/10.3390/math8050666

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