Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator
In this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian. By using the critical point theory, we obtain the existence of infinitely many solutions under some suitable assumptions on the nonlinear term. Also, by...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/1980285 |
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| _version_ | 1850166073763037184 |
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| author | Zhuomin Zhang Zhan Zhou |
| author_facet | Zhuomin Zhang Zhan Zhou |
| author_sort | Zhuomin Zhang |
| collection | DOAJ |
| description | In this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian. By using the critical point theory, we obtain the existence of infinitely many solutions under some suitable assumptions on the nonlinear term. Also, by our strong maximum principle, we can obtain the existence of infinitely many positive solutions. |
| format | Article |
| id | doaj-art-e41bbe41eb9d40ee8bbf7e9c40b9324c |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e41bbe41eb9d40ee8bbf7e9c40b9324c2025-08-20T02:21:34ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/19802851980285Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian OperatorZhuomin Zhang0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaIn this paper, we consider the existence and multiplicity of solutions for a discrete Dirichlet boundary value problem involving the p,q-Laplacian. By using the critical point theory, we obtain the existence of infinitely many solutions under some suitable assumptions on the nonlinear term. Also, by our strong maximum principle, we can obtain the existence of infinitely many positive solutions.http://dx.doi.org/10.1155/2021/1980285 |
| spellingShingle | Zhuomin Zhang Zhan Zhou Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator Journal of Function Spaces |
| title | Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator |
| title_full | Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator |
| title_fullStr | Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator |
| title_full_unstemmed | Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator |
| title_short | Infinitely Many Solutions for Discrete Boundary Value Problems with the p,q-Laplacian Operator |
| title_sort | infinitely many solutions for discrete boundary value problems with the p q laplacian operator |
| url | http://dx.doi.org/10.1155/2021/1980285 |
| work_keys_str_mv | AT zhuominzhang infinitelymanysolutionsfordiscreteboundaryvalueproblemswiththepqlaplacianoperator AT zhanzhou infinitelymanysolutionsfordiscreteboundaryvalueproblemswiththepqlaplacianoperator |