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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Hindawi Limited
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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doaj-5caf85740ba34b818953d21e3728fe8f2020-11-24T22:04:48ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Bo Zheng |
| spellingShingle |
Bo Zheng Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups Abstract and Applied Analysis |
| author_facet |
Bo Zheng |
| author_sort |
Bo Zheng |
| title |
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_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_sort |
nonconstant periodic solutions of discrete p-laplacian system via clark duality and computations of the critical groups |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2014/567471 |
| work_keys_str_mv |
AT bozheng nonconstantperiodicsolutionsofdiscreteplaplaciansystemviaclarkdualityandcomputationsofthecriticalgroups |
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1725828729097158656 |