Solutions of nonlinear problems involving p(x)-Laplacian operator

Solutions of nonlinear problems involving p(x)-Laplacian operator

In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W01,p(x)(Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem...

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Bibliographic Details
Main Author: Yücedağ Zehra
Format: Article
Language:English
Published: De Gruyter 2015-11-01
Series:Advances in Nonlinear Analysis
Subjects:
p(x)-laplacian
nonlocal problem
variational methods
mountain pass theorem
fountain theorem
35b30
35d05
35j60
35j70
Online Access:https://doi.org/10.1515/anona-2015-0044
Description
Summary:In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian. The problem is settled in the variable exponent Sobolev space W01,p(x)(Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.
ISSN:2191-9496
2191-950X

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