On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function

被引：13

作者：

Rodrigues, Rodrigo da Silva ^{[1
]}

机构：

[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Quasilinear elliptic equations; Nehari manifolds; Critical Hardy-Sobolev exponent; POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; LOCAL SUPERLINEARITY; WEIGHT FUNCTION; P-LAPLACIAN; EQUATIONS; EXISTENCE; SUBLINEARITY; CONCAVE;

D O I：

10.1016/j.na.2010.03.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the existence and nonexistence of nonnegative nontrivial weak solutions for a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and a sign-changing function. Some existence results are obtained by splitting the Nehari manifold and by exploring some properties of the best Hardy-Sobolev constant together with an approach developed by Brezis and Nirenberg. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：857 / 880

页数：24

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