Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian
In view of variational approach, we discuss a nonlinear elliptic system involving the p(x)-Laplacian. Establishing the suitable conditions on the nonlinearity, we proved the existence of nontrivial solutions.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-09-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/612938 |
| _version_ | 1828259512519229440 |
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| author | Z. Yucedag M. Avci R. A. Mashiyev S. Ogras |
| author_facet | Z. Yucedag M. Avci R. A. Mashiyev S. Ogras |
| author_sort | Z. Yucedag |
| collection | DOAJ |
| description | In view of variational approach, we discuss a nonlinear elliptic system involving the p(x)-Laplacian. Establishing the suitable conditions on the nonlinearity, we proved the existence of nontrivial solutions. |
| first_indexed | 2024-04-13T03:10:06Z |
| format | Article |
| id | doaj.art-c20c1b2025a54ebfa34cb20a72031b6e |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T03:10:06Z |
| publishDate | 2008-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c20c1b2025a54ebfa34cb20a72031b6e2022-12-22T03:05:06ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-09-01200810.1155/2008/612938Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-LaplacianZ. YucedagM. AvciR. A. MashiyevS. OgrasIn view of variational approach, we discuss a nonlinear elliptic system involving the p(x)-Laplacian. Establishing the suitable conditions on the nonlinearity, we proved the existence of nontrivial solutions.http://dx.doi.org/10.1155/2008/612938 |
| spellingShingle | Z. Yucedag M. Avci R. A. Mashiyev S. Ogras Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian Journal of Inequalities and Applications |
| title | Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian |
| title_full | Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian |
| title_fullStr | Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian |
| title_full_unstemmed | Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian |
| title_short | Existence of Solutions for a Class of Elliptic Systems in â„ÂN Involving the (p(x),q(x))-Laplacian |
| title_sort | existence of solutions for a class of elliptic systems in a¢a an involving the p x q x laplacian |
| url | http://dx.doi.org/10.1155/2008/612938 |
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