Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem
In this article, we consider the new results for the Kirchhoff-type p-Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators. By using the mountain pass theorem and the genus properties in the critical point theory, we get some new results on the existence and m...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8453205 |
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| _version_ | 1832556830762467328 |
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| author | Taiyong Chen Wenbin Liu Hua Jin |
| author_facet | Taiyong Chen Wenbin Liu Hua Jin |
| author_sort | Taiyong Chen |
| collection | DOAJ |
| description | In this article, we consider the new results for the Kirchhoff-type p-Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators. By using the mountain pass theorem and the genus properties in the critical point theory, we get some new results on the existence and multiplicity of nontrivial weak solutions for such Dirichlet problem. |
| format | Article |
| id | doaj-art-8d5272ebc0c44eb195d283a7d91fd0a4 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8d5272ebc0c44eb195d283a7d91fd0a42025-02-03T05:44:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/84532058453205Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet ProblemTaiyong Chen0Wenbin Liu1Hua Jin2School of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaIn this article, we consider the new results for the Kirchhoff-type p-Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators. By using the mountain pass theorem and the genus properties in the critical point theory, we get some new results on the existence and multiplicity of nontrivial weak solutions for such Dirichlet problem.http://dx.doi.org/10.1155/2020/8453205 |
| spellingShingle | Taiyong Chen Wenbin Liu Hua Jin Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem Journal of Function Spaces |
| title | Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem |
| title_full | Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem |
| title_fullStr | Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem |
| title_full_unstemmed | Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem |
| title_short | Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem |
| title_sort | nontrivial solutions of the kirchhoff type fractional p laplacian dirichlet problem |
| url | http://dx.doi.org/10.1155/2020/8453205 |
| work_keys_str_mv | AT taiyongchen nontrivialsolutionsofthekirchhofftypefractionalplaplaciandirichletproblem AT wenbinliu nontrivialsolutionsofthekirchhofftypefractionalplaplaciandirichletproblem AT huajin nontrivialsolutionsofthekirchhofftypefractionalplaplaciandirichletproblem |