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nodal solutions for quasilinear elliptic problems involving Hardy-Sobolev critical exponents in symmetric domain (Retracted Article)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

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