The Nehari manifold method for discrete fractional p-Laplacian equations
Abstract The aim of this paper is to investigate the multiplicity of homoclinic solutions for a discrete fractional difference equation. First, we give a variational framework to a discrete fractional p-Laplacian equation. Then two nontrivial and nonnegative homoclinic solutions are obtained by usin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-03014-z |
| _version_ | 1818992280560730112 |
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| author | Xuewei Ju Hu Die Mingqi Xiang |
| author_facet | Xuewei Ju Hu Die Mingqi Xiang |
| author_sort | Xuewei Ju |
| collection | DOAJ |
| description | Abstract The aim of this paper is to investigate the multiplicity of homoclinic solutions for a discrete fractional difference equation. First, we give a variational framework to a discrete fractional p-Laplacian equation. Then two nontrivial and nonnegative homoclinic solutions are obtained by using the Nehari manifold method. |
| first_indexed | 2024-12-20T20:23:39Z |
| format | Article |
| id | doaj.art-58935877b8ea48ac85535943b49f0c03 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T20:23:39Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-58935877b8ea48ac85535943b49f0c032022-12-21T19:27:31ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020112110.1186/s13662-020-03014-zThe Nehari manifold method for discrete fractional p-Laplacian equationsXuewei Ju0Hu Die1Mingqi Xiang2College of Science, Civil Aviation University of ChinaCollege of Science, Civil Aviation University of ChinaCollege of Science, Civil Aviation University of ChinaAbstract The aim of this paper is to investigate the multiplicity of homoclinic solutions for a discrete fractional difference equation. First, we give a variational framework to a discrete fractional p-Laplacian equation. Then two nontrivial and nonnegative homoclinic solutions are obtained by using the Nehari manifold method.http://link.springer.com/article/10.1186/s13662-020-03014-zDiscrete fractional p-LaplacianHomoclinic solutionsNehari manifold |
| spellingShingle | Xuewei Ju Hu Die Mingqi Xiang The Nehari manifold method for discrete fractional p-Laplacian equations Advances in Difference Equations Discrete fractional p-Laplacian Homoclinic solutions Nehari manifold |
| title | The Nehari manifold method for discrete fractional p-Laplacian equations |
| title_full | The Nehari manifold method for discrete fractional p-Laplacian equations |
| title_fullStr | The Nehari manifold method for discrete fractional p-Laplacian equations |
| title_full_unstemmed | The Nehari manifold method for discrete fractional p-Laplacian equations |
| title_short | The Nehari manifold method for discrete fractional p-Laplacian equations |
| title_sort | nehari manifold method for discrete fractional p laplacian equations |
| topic | Discrete fractional p-Laplacian Homoclinic solutions Nehari manifold |
| url | http://link.springer.com/article/10.1186/s13662-020-03014-z |
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