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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Format: | Article |
Language: | English |
Published: |
De Gruyter
2015-11-01
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Series: | Advances in Nonlinear Analysis |
Subjects: | |
Online Access: | https://doi.org/10.1515/anona-2015-0044 |