A quasilinear elliptic problem involving critical Sobolev exponents

被引：0

作者：

Francesca Faraci

Csaba Farkas

机构：

[1] University of Catania,Department of Mathematics and Informatics

[2] Sapientia University,Department of Mathematics and Informatics

来源：

Collectanea Mathematica | 2015年 / 66卷

关键词：

Quasilinear elliptic equation; Critical Sobolev exponent; Local minimum; 35J20; 35J92;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper we deal with a quasilinear elliptic equation involving a critical nonlinearity and a lower order perturbation. Under very general assumptions on the perturbation we prove the existence of a solution. The approach is based on the direct methods of calculus of variations.

引用

页码：243 / 259

页数：16

共 50 条

[21] On Neumann problem for some semilinear elliptic equations involving critical Sobolev exponents
Xie, ZQ
ACTA MATHEMATICA SCIENTIA, 1998, 18 (02) : 186 - 196
[22] On a class of quasilinear elliptic problems involving critical exponents
de Figueiredo, DG
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2000, 2 (01) : 47 - 59
[23] On Elliptic System Involving Critical Sobolev–Hardy Exponents
Mohammed Bouchekif
Yasmina Nasri
Mediterranean Journal of Mathematics, 2008, 5 : 237 - 252
[24] A MAXIMIZATION PROBLEM INVOLVING CRITICAL SOBOLEV EXPONENTS
BREZIS, H
OSWALD, L
MATEMATICA APLICADA E COMPUTACIONAL, 1987, 6 (01): : 47 - 55
[25] Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities
Hsu, Tsing-San
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (12) : 3934 - 3944
[26] Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
Zhiying Deng
Yisheng Huang
Boundary Value Problems, 2015
[27] Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
Deng, Zhiying
Huang, Yisheng
BOUNDARY VALUE PROBLEMS, 2015,
[28] Solutions for quasilinear elliptic problems with critical Sobolev-Hardy exponents
Kang, DS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (01) : 273 - 284
[29] EXISTENCE OF POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS WITH SOBOLEV CRITICAL EXPONENTS
Cao, Xiaoyan
Yang, Zuodong
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (01): : 57 - 71
[30] EXISTENCE AND REGULARITY FOR A QUASILINEAR ELLIPTIC EQUATION INVOLVING CRITICAL EXPONENTS
YANG, JF
ACTA MATHEMATICA SCIENTIA, 1989, 9 (02) : 149 - 162

← 1 2 3 4 5 →