RETRACTED: Multiple nodal solutions for quasilinear elliptic problems involving Hardy-Sobolev critical exponents in symmetric domain (Retracted Article)

被引：1

作者：

Shen, Zifei ^{[1
]}

Yang, Minbo

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Beijing Inst Informat & Control, Beijing 100037, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 01期

关键词：

nodal solutions; Hardy-Sobolev critical exponent; Lusternik-Schnirelmann theory; symmetry;

D O I：

10.1016/j.jmaa.2007.01.082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain the existence of multiple nodal solutions for quasilinear elliptic equation with Hardy-Sobolev critical exponents of the type [GRAPHICS] where Omega is a bounded domain with smooth boundary in R-N and contains 0 in its interior, -Delta pu =-div(vertical bar del u vertical bar(p-2)del u), 1 < p < N, 0 <= s <= p, p <= q < p*, lambda is a positive parameter, and [GRAPHICS] By Lusternik-Schnirel mann category theory, we show the effect of the domain topology on the number of minimal nodal solutions for (P-lambda(0)). (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：524 / 542

页数：19

共 50 条

[31] Existence and Multiplicity of Nontrivial Solutions for Semilinear Elliptic Equations Involving Hardy-Sobolev Critical Exponents
Fan, Yonghong
Sun, Wenheng
Wang, Linlin
AXIOMS, 2024, 13 (07)
[32] Two Disjoint and Infinite Sets of Solutions for an Elliptic Equation Involving Critical Hardy-Sobolev Exponents
Khalid Bouabid
Rachid Echarghaoui
Mohssine El Mansour
Acta Mathematica Scientia, 2023, 43 : 2061 - 2074
[33] Existence and Nonexistence of Positive Solutions for Semilinear Elliptic Equations Involving Hardy-Sobolev Critical Exponents
Wang, Lin-Lin
Fan, Yong-Hong
MATHEMATICS, 2024, 12 (11)
[34] TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
Khalid BOUABID
Rachid ECHARGHAOUI
Mohssine EL MANSOUR
ActaMathematicaScientia, 2023, 43 (05) : 2061 - 2074
[35] On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
Kang, Dongsheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (07) : 1973 - 1985
[36] TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
Bouabid, Khalid
Echarghaoui, Rachid
El Mansour, Mohssine
ACTA MATHEMATICA SCIENTIA, 2023, 43 (05) : 2061 - 2074
[37] On elliptic problems with two critical Hardy-Sobolev exponents at the same pole
Bouchekif, Mohammed
Messirdi, Sofiane
APPLIED MATHEMATICS LETTERS, 2015, 42 : 9 - 14
[38] A nonlinear elliptic PDE with multiple Hardy-Sobolev critical exponents in RN
Zhong, X.
Zou, W.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 292 : 354 - 387
[39] Ground states for a nonhomogeneous elliptic system involving Hardy-Sobolev critical exponents
Guo, Zhenyu
MATHEMATISCHE NACHRICHTEN, 2017, 290 (07) : 1053 - 1065
[40] MASS EFFECT ON AN ELLIPTIC PDE INVOLVING TWO HARDY-SOBOLEV CRITICAL EXPONENTS
Thiam, El Hadji Abdoulaye
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2024, 16 (03): : 183 - 198

← 1 2 3 4 5 →