Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian
We consider a differential inclusion system involving the (p(x),q(x))-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipsc...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/971243 |
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| _version_ | 1832556582503710720 |
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| author | Bin Ge Ji-Hong Shen |
| author_facet | Bin Ge Ji-Hong Shen |
| author_sort | Bin Ge |
| collection | DOAJ |
| description | We consider a differential inclusion system involving the (p(x),q(x))-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions. |
| format | Article |
| id | doaj-art-f70a6fa780e040a581d669f65bcbaa0b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f70a6fa780e040a581d669f65bcbaa0b2025-02-03T05:44:56ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/971243971243Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-LaplacianBin Ge0Ji-Hong Shen1Department of Mathematics, Harbin Engineering University, Harbin 150001, ChinaDepartment of Mathematics, Harbin Engineering University, Harbin 150001, ChinaWe consider a differential inclusion system involving the (p(x),q(x))-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.http://dx.doi.org/10.1155/2012/971243 |
| spellingShingle | Bin Ge Ji-Hong Shen Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian Abstract and Applied Analysis |
| title | Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian |
| title_full | Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian |
| title_fullStr | Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian |
| title_full_unstemmed | Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian |
| title_short | Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian |
| title_sort | multiple solutions for a class of differential inclusion system involving the p x q x laplacian |
| url | http://dx.doi.org/10.1155/2012/971243 |
| work_keys_str_mv | AT binge multiplesolutionsforaclassofdifferentialinclusionsysteminvolvingthepxqxlaplacian AT jihongshen multiplesolutionsforaclassofdifferentialinclusionsysteminvolvingthepxqxlaplacian |