Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups
We study the existence of periodic solutions to a discrete p-Laplacian system. By using the Clark duality method and computing the critical groups, we find a simple condition that is sufficient to ensure the existence of nonconstant periodic solutions to the system.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/567471 |
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| _version_ | 1832563910961528832 |
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| author | Bo Zheng |
| author_facet | Bo Zheng |
| author_sort | Bo Zheng |
| collection | DOAJ |
| description | We study the existence of periodic solutions to a discrete p-Laplacian system. By using the Clark duality method and computing the critical groups, we find a simple condition that is sufficient to ensure the existence of nonconstant periodic solutions to the system. |
| format | Article |
| id | doaj-art-5caf85740ba34b818953d21e3728fe8f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5caf85740ba34b818953d21e3728fe8f2025-02-03T01:12:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/567471567471Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical GroupsBo Zheng0College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaWe study the existence of periodic solutions to a discrete p-Laplacian system. By using the Clark duality method and computing the critical groups, we find a simple condition that is sufficient to ensure the existence of nonconstant periodic solutions to the system.http://dx.doi.org/10.1155/2014/567471 |
| spellingShingle | Bo Zheng Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups Abstract and Applied Analysis |
| title | Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups |
| title_full | Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups |
| title_fullStr | Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups |
| title_full_unstemmed | Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups |
| title_short | Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups |
| title_sort | nonconstant periodic solutions of discrete p laplacian system via clark duality and computations of the critical groups |
| url | http://dx.doi.org/10.1155/2014/567471 |
| work_keys_str_mv | AT bozheng nonconstantperiodicsolutionsofdiscreteplaplaciansystemviaclarkdualityandcomputationsofthecriticalgroups |