Existence and multiplicity of solutions for a p(x)-Laplacian equation with critical growth

被引：41

作者：

Alves, Claudianor O. ^{[1
]}

Barreiro, Jose L. P. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estat, BR-58429900 Campina Grande, PB, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 403卷 / 01期

关键词：

Quasilinear elliptic equations; Critical growth; Variational methods; SPACES;

D O I：

10.1016/j.jmaa.2013.02.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the existence and multiplicity of weak solutions for a class of problems involving the p(x)-Laplacian operator in a bounded domain, where the nonlinearity has a critical growth. The main tool used is the variational method combined with the genus theory for even functionals. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：143 / 154

页数：12

共 22 条

[1] Existence of solution for a degenerate p(x)-Laplacian equation in RN [J].

Alves, Claudianor O. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :731-742

[2]

Alves CO, 2010, DIFFER INTEGRAL EQU, V23, P113

[3] On superlinear p(x)-Laplacian equations in RN [J].

Alves, Claudianor O. ;

Liu, Shibo .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) :2566-2579

[4]

Alves CO, 2006, PROG NONLINEAR DIFFE, V66, P17

[5]

[Anonymous], 2010, Encyclopedia of Mathematics and its Applications

[6]

Antontsev S, 2006, HBK DIFF EQUAT STATI, V3, P1, DOI 10.1016/S1874-5733(06)80005-7

[7] Existence of solutions for p(x)-Laplacian problems on a bounded domain [J].

Chabrowski, J ;

Fu, YQ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (02) :604-618

[8]

Chabrowski J., 1999, WEAK COVERGENCE METH

[9]

de Freitas L.R., 2010, THESIS USP SAO CARLO

[10]

Diening L., 2004, FSDONA04 Proc, V66, P38

← 1 2 3 →