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

共 50 条

[1] Existence of viscosity solutions for Hessian equations in exterior domains
Boping Tian
Yongqiang Fu
Frontiers of Mathematics in China, 2014, 9 : 201 - 211
[2] On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains
Limei Dai
Jiguang Bao
Frontiers of Mathematics in China, 2011, 6 : 221 - 230
[3] On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains
Dai, Limei
Bao, Jiguang
FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (02) : 221 - 230
[4] Existence of viscosity solutions with asymptotic behavior of exterior problems for Hessian equations
Meng, Xianyu
Fu, Yongqiang
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 342 - 349
[5] NECESSARY AND SUFFICIENT CONDITIONS ON EXISTENCE AND CONVEXITY OF SOLUTIONS FOR DIRICHLET PROBLEMS OF HESSIAN EQUATIONS ON EXTERIOR DOMAINS
Wang, Chong
Bao, Jiguang
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (04) : 1289 - 1296
[6] EXISTENCE OF SOLUTIONS FOR SUBLINEAR EQUATIONS ON EXTERIOR DOMAINS
Iaia, Joseph A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[7] EXISTENCE OF SOLUTIONS FOR SUBLINEAR EQUATIONS ON EXTERIOR DOMAINS
Iaia, Joseph A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[8] EXISTENCE OF SOLUTIONS WITH ASYMPTOTIC BEHAVIOR OF EXTERIOR PROBLEMS OF HESSIAN EQUATIONS
Dai, Limei
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (08) : 2853 - 2861
[9] Existence and uniqueness of viscosity solutions for parabolic Hessian equations
Guo, Xuewen
Zhao, Huawei
2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING, AND INTELLIGENT COMPUTING (CAMMIC 2022), 2022, 12259
[10] EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR SEMILINEAR EQUATIONS ON EXTERIOR DOMAINS
Iaia, Joseph A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,

← 1 2 3 4 5 →