Existence of solutions for a p(x)-Kirchhoff-type equation

被引：189

作者：

Dai, Guowei ^{[1
,2
]}

Hao, Ruifang ^{[2
]}

机构：

[1] NW Normal Univ, Math & Informat Sci Coll, Lanzhou 730070, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 359卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Variational method; p(x)-Kirchhoff-type equation; Nonlocal problems; DIFFERENTIAL INCLUSION PROBLEM; P-KIRCHHOFF-TYPE; VARIABLE EXPONENT; SPACES;

D O I：

10.1016/j.jmaa.2009.05.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and multiplicity of solutions to a class of p(x)-Kirchhoff-type problem with Dirichlet boundary data. By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish conditions ensuring the existence and multiplicity of solutions for the problem. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：275 / 284

页数：10

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