Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like
A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/575328 |
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| _version_ | 1832552685856882688 |
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| author | Zhou Qing-Mei Ge Bin |
| author_facet | Zhou Qing-Mei Ge Bin |
| author_sort | Zhou Qing-Mei |
| collection | DOAJ |
| description | A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved. |
| format | Article |
| id | doaj-art-0d0807f025944a77bdc1bc4e2fd99097 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0d0807f025944a77bdc1bc4e2fd990972025-02-03T05:57:57ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/575328575328Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-LikeZhou Qing-Mei0Ge Bin1Library, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Harbin Engineering University, Harbin 150001, ChinaA class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.http://dx.doi.org/10.1155/2013/575328 |
| spellingShingle | Zhou Qing-Mei Ge Bin Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like Abstract and Applied Analysis |
| title | Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like |
| title_full | Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like |
| title_fullStr | Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like |
| title_full_unstemmed | Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like |
| title_short | Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like |
| title_sort | three solutions for inequalities dirichlet problem driven by p x laplacian like |
| url | http://dx.doi.org/10.1155/2013/575328 |
| work_keys_str_mv | AT zhouqingmei threesolutionsforinequalitiesdirichletproblemdrivenbypxlaplacianlike AT gebin threesolutionsforinequalitiesdirichletproblemdrivenbypxlaplacianlike |