Existence of viscosity solutions for Hessian equations in exterior domains

被引：2

作者：

Tian, Boping ^{[1
]}

Fu, Yongqiang ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2014年 / 9卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hessian equation; viscosity solution; exterior domain; NONLINEAR ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; CONSTANT CURVATURE; QUOTIENT EQUATION; HYPERSURFACES; REGULARITY;

D O I：

10.1007/s11464-013-0340-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Perron method is used to establish the existence of viscosity solutions to the exterior Dirichlet problems for a class of Hessian type equations with prescribed behavior at infinity.

引用

页码：201 / 211

页数：11

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