Existence results of infinitely many weak solutions for a class of equations with a p(x)-Laplacian operator

SUN Dong-po; Tian Yu

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Existence results of infinitely many weak solutions for a class of equations with a p(x)-Laplacian operator

SUN Dong-po #,Tian Yu *

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876

*Correspondence author

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Funding: none

Opened online: 9 April 2014

Accepted by: none

Citation: SUN Dong-po,Tian Yu.Existence results of infinitely many weak solutions for a class of equations with a p(x)-Laplacian operator[OL]. [ 9 April 2014] http://en.paper.edu.cn/en_releasepaper/content/4591979

In this paper, the Dirichlet boundary-value problem with p(x)-Laplacian operator is studied. The existence results of infinitely many weak solutions and a nontrivial weak solution are obtained. The main ideas involve variational methods.

Keywords:p(x)-Laplacian, Nontrivial weak solutions, Mountain Pass Theorem, Generalized Lebesgue-Sobolev space

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