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

Ruifang Hao

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

Ruifang Hao *

Department of Mathematics, Lanzhou University

*Correspondence author

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Funding: 国家自然科学基金（No.10671084）

Opened online: 4 January 2009

Accepted by: none

Citation: Ruifang Hao.Existence of solutions for a p(x)-Kirchhoff-type[OL]. [ 4 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27271

This paper is concerned with the existence and multiplicity 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.

Keywords:Variational method;p(x)-Kirchhoff-type equation;Nonlocal problems

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