Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
Abstract We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1902-6 |
| _version_ | 1818590790723567616 |
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| author | Taiyong Chen Wenbin Liu |
| author_facet | Taiyong Chen Wenbin Liu |
| author_sort | Taiyong Chen |
| collection | DOAJ |
| description | Abstract We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem. |
| first_indexed | 2024-12-16T10:02:09Z |
| format | Article |
| id | doaj.art-4aa51877e6734c1da54e528c391ca50b |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T10:02:09Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-4aa51877e6734c1da54e528c391ca50b2022-12-21T22:35:46ZengSpringerOpenAdvances in Difference Equations1687-18472018-11-01201811910.1186/s13662-018-1902-6Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-LaplacianTaiyong Chen0Wenbin Liu1School of Mathematics, China University of Mining and TechnologySchool of Mathematics, China University of Mining and TechnologyAbstract We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet problem.http://link.springer.com/article/10.1186/s13662-018-1902-6Kirchhoff-type equationFractional p-LaplacianDirichlet problemGround state solutionNehari manifold |
| spellingShingle | Taiyong Chen Wenbin Liu Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian Advances in Difference Equations Kirchhoff-type equation Fractional p-Laplacian Dirichlet problem Ground state solution Nehari manifold |
| title | Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian |
| title_full | Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian |
| title_fullStr | Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian |
| title_full_unstemmed | Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian |
| title_short | Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian |
| title_sort | ground state solutions of kirchhoff type fractional dirichlet problem with p laplacian |
| topic | Kirchhoff-type equation Fractional p-Laplacian Dirichlet problem Ground state solution Nehari manifold |
| url | http://link.springer.com/article/10.1186/s13662-018-1902-6 |
| work_keys_str_mv | AT taiyongchen groundstatesolutionsofkirchhofftypefractionaldirichletproblemwithplaplacian AT wenbinliu groundstatesolutionsofkirchhofftypefractionaldirichletproblemwithplaplacian |