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 |
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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 |
| _version_ | 1818907860257472512 |
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| author | Yücedağ Zehra |
| author_facet | Yücedağ Zehra |
| author_sort | Yücedağ Zehra |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T22:01:50Z |
| format | Article |
| id | doaj.art-74df8196215145ffacbdcf7ca096b087 |
| institution | Directory Open Access Journal |
| issn | 2191-9496 2191-950X |
| language | English |
| last_indexed | 2024-12-19T22:01:50Z |
| publishDate | 2015-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-74df8196215145ffacbdcf7ca096b0872022-12-21T20:04:08ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2015-11-014428529310.1515/anona-2015-0044Solutions of nonlinear problems involving p(x)-Laplacian operatorYücedağ Zehra0Department of Mathematics, Dicle University, TurkeyIn 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.https://doi.org/10.1515/anona-2015-0044p(x)-laplaciannonlocal problemvariational methodsmountain pass theoremfountain theorem35b3035d0535j6035j70 |
| spellingShingle | Yücedağ Zehra Solutions of nonlinear problems involving p(x)-Laplacian operator Advances in Nonlinear Analysis p(x)-laplacian nonlocal problem variational methods mountain pass theorem fountain theorem 35b30 35d05 35j60 35j70 |
| title | Solutions of nonlinear problems involving p(x)-Laplacian operator |
| title_full | Solutions of nonlinear problems involving p(x)-Laplacian operator |
| title_fullStr | Solutions of nonlinear problems involving p(x)-Laplacian operator |
| title_full_unstemmed | Solutions of nonlinear problems involving p(x)-Laplacian operator |
| title_short | Solutions of nonlinear problems involving p(x)-Laplacian operator |
| title_sort | solutions of nonlinear problems involving p x laplacian operator |
| topic | p(x)-laplacian nonlocal problem variational methods mountain pass theorem fountain theorem 35b30 35d05 35j60 35j70 |
| url | https://doi.org/10.1515/anona-2015-0044 |
| work_keys_str_mv | AT yucedagzehra solutionsofnonlinearproblemsinvolvingpxlaplacianoperator |