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.
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页码：201 / 211
页数：11
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