SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL WEIGHT IN THE SOBOLEV-HARDY SPACE

被引：0

作者：

Zhang, Yimin ^{[1
]}

Yang, Jun ^{[1
]}

Shen, Yaotian ^{[1
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Morse theory; the PSC condition; critical groups; Sobolev-Hardy space; NONTRIVIAL SOLUTIONS; INEQUALITIES; EXISTENCE;

D O I：

10.1090/S0002-9939-2010-10468-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we apply Morse theory to study the existence of nontrivial solutions for nonlinear elliptic equations with general weight and Hardy potential in the Sobolev-Hardy space.

引用

页码：219 / 230

页数：12

共 50 条

[31] SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R~N
王征平
周焕松
ActaMathematicaScientia, 2006, (03) : 525 - 536
[32] WEIGHTED SOBOLEV-HARDY SPACES AND SIGN-CHANGING SOLUTIONS OF DEGENERATE ELLIPTIC EQUATION
Yang, Jun
Shen, Yaotian
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2565 - 2575
[33] Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms
Li, Yuanyuan
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[34] MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS
Tsing-San Hsu
Huei-Lin Li
Acta Mathematica Scientia, 2011, 31 (03) : 791 - 804
[35] MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS
Hsu, Tsing-San
Li, Huei-Lin
ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) : 791 - 804
[36] SIGN-CHANGING SOLUTIONS TO ELLIPTIC PROBLEMS WITH TWO CRITICAL SOBOLEV-HARDY EXPONENTS
Peng, Yanfang
Yang, Jing
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (02) : 439 - 455
[37] Nonlinear Elliptic Equations on Weighted Sobolev Space
Rupali Kumari
Rasmita Kar
Mathematical Notes, 2023, 114 : 1289 - 1296
[38] FRACTIONAL ELLIPTIC PROBLEMS WITH TWO CRITICAL SOBOLEV-HARDY EXPONENTS
Chen, Wenjing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[39] Nonlinear Elliptic Equations on Weighted Sobolev Space
Kumari, Rupali
Kar, Rasmita
MATHEMATICAL NOTES, 2023, 114 (5-6) : 1289 - 1296
[40] Quasilinear elliptic problems with combined critical Sobolev-Hardy terms
Li, Yuanyuan
Ruf, Bernhard
Guo, Qianqiao
Niu, Pengcheng
ANNALI DI MATEMATICA PURA ED APPLICATA, 2013, 192 (01) : 93 - 113

← 1 2 3 4 5 →