EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM WITH THE CRITICAL EXPONENT AND A HARDY TERM

被引：0

作者：

Hirano, Norimichi ^{[1
]}

Shioji, Naoki ^{[1
]}

机构：

[1] Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2008年 / 21卷 / 9-10期

基金：

日本学术振兴会;

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that if mu > 0 is small enough, the problem {-Delta mu - mu mu/vertical bar x vertical bar(2) = vertical bar u vertical bar(2*-2)u in Omega, u = 0 on partial derivative Omega has at least cat Omega - 1 positive solutions, where Omega is a noncontractible, bounded domain in R-N (N >= 4) such that its boundary is smooth and 0 is an element of Omega.

引用

页码：971 / 980

页数：10

共 50 条

[31] Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
Li, Yuanxiao
Xia, Suxia
[J]. BOUNDARY VALUE PROBLEMS, 2018,
[32] Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
Yuanxiao Li
Suxia Xia
[J]. Boundary Value Problems, 2018
[33] UNIQUENESS OF POSITIVE SOLUTIONS OF A NONLINEAR ELLIPTIC EQUATION INVOLVING THE CRITICAL EXPONENT
GLANGETAS, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (05) : 571 - 603
[34] QUASILINEAR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT AND HARDY TERM
Xie Huazhao (College of Math. and Statistics
[J]. Annals of Applied Mathematics, 2008, (04) : 436 - 442
[35] QUASILINEAR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT AND HARDY TERM
Xie Huazhao College of Math and Statistics Huazhong Normal University Wuhan Li Suli Math Staff Office The first Aeronautic College of The Air Force Xinyang Henan
[J]. Annals of Differential Equations., 2008, 24 (04) - 442
[36] Existence of nontrivial positive solutions for generalized quasilinear elliptic equations with critical exponent
Zhang, Shulin
[J]. AIMS MATHEMATICS, 2022, 7 (06): : 9748 - 9766
[37] POSITIVE SOLUTIONS OF PERTURBED ELLIPTIC PROBLEMS INVOLVING HARDY POTENTIAL AND CRITICAL SOBOLEV EXPONENT
Zhang, Jing
Ma, Shiwang
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (06): : 1999 - 2009
[38] Multispike solutions for a nonlinear elliptic problem involving the critical Sobolev exponent
Musso, M
Pistoia, A
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2002, 51 (03) : 541 - 579
[39] Positive solutions for a relativistic nonlinear Schrodinger equation with critical exponent and Hardy potential
Wang, Wanru
Zhang, Yimin
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (12) : 2924 - 2943
[40] EXISTENCE OF POSITIVE SOLUTIONS TO NONLINEAR ELLIPTIC PROBLEM IN THE HALF SPACE
Bachar, Imed
Maagli, Habib
Zribi, Malek
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,

← 1 2 3 4 5 →