Existence of three solutions for p(x)-Laplacian equations

被引：27

作者：

Liu, Qiao ^{[1
]}

机构：

[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 07期

基金：

中国国家自然科学基金;

关键词：

p(x)-laplacian; variable exponent sobolev space; Neumann problem; Dirichlet problem;

D O I：

10.1016/j.na.2007.01.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using B. Ricceri's three-critical-points theorem and variational methods, we study the solutions of the p(x)Laplacian equations with Neumann or Dirichlet boundary condition on a bounded domain, and obtain three solutions under appropriate hypotheses. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2119 / 2127

页数：9

共 14 条

[1]

AFROUZI GA, 2006, NONLINEAR ANAL

[2]

[Anonymous], MATH USSR

[3] Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian [J].

Bonanno, G ;

Candito, P .

ARCHIV DER MATHEMATIK, 2003, 80 (04) :424-429

[4]

Edmunds DE, 2002, MATH NACHR, V246, P53, DOI 10.1002/1522-2616(200212)246:1<53::AID-MANA53>3.0.CO

[5]

2-T

[6] Sobolev embedding theorems for spaces Wk,p(x)(Ω) [J].

Fan, XL ;

Shen, JS ;

Zhao, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :749-760

[7] Existence of solutions for p(x)-Laplacian Dirichlet problem [J].

Fan, XL ;

Zhang, QH .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) :1843-1852

[8] On the spaces Lp(x)(Ω) and Wm, p(x)(Ω) [J].

Fan, XL ;

Zhao, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) :424-446

[9]

FAN XL, 2006, NONLINEAR ANAL

[10]

KOVACIK O, 1991, CZECH MATH J, V41, P592

← 1 2 →