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

共 50 条

[1] Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents
Kang, DS
Peng, SJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) : 488 - 499
[2] Existence of Multiple Positive Solutions for Quasilinear Elliptic Systems Involving Critical Hardy-Sobolev Exponents and Sign-Changing Weight Function
Nyamoradi, Nemat
MATHEMATICAL MODELLING AND ANALYSIS, 2012, 17 (03) : 330 - 350
[3] SUB-ELLIPTIC SYSTEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS AND SIGN-CHANGING WEIGHT FUNCTIONS ON CARNOT GROUPS
Zhang, Jinguo
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2024, 8 (02): : 199 - 231
[4] Infinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent
Bhakta, Mousomi
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (02): : 337 - 347
[5] 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
[6] Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents
Kang, Dongsheng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (01) : 107 - 116
[7] SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
Kang Dongsheng
ACTA MATHEMATICA SCIENTIA, 2010, 30 (05) : 1529 - 1540
[8] SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS
康东升
ActaMathematicaScientia, 2010, 30 (05) : 1529 - 1540
[9] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING m CRITICAL HARDY-SOBOLEV EXPONENTS AND m SIGN-CHANGING WEIGHT FUNCTION
Nemat NYAMORADI
Tsing-San HSU
ActaMathematicaScientia, 2014, 34 (02) : 483 - 500
[10] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING m CRITICAL HARDY-SOBOLEV EXPONENTS AND m SIGN-CHANGING WEIGHT FUNCTION
Nyamoradi, Nemat
Hsu, Tsing-San
ACTA MATHEMATICA SCIENTIA, 2014, 34 (02) : 483 - 500

← 1 2 3 4 5 →