Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system
In this paper, we study a class of Schrödinger–Bopp–Podolsky system. Under some suitable assumptions for the potentials, by developing some calculations of sharp energy estimates and using a topological argument involving the barycenter function, we establish the existence of positive bound state so...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2021-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8581 |
| _version_ | 1797830509404880896 |
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| author | Kaimin Teng Yunxia Yan |
| author_facet | Kaimin Teng Yunxia Yan |
| author_sort | Kaimin Teng |
| collection | DOAJ |
| description | In this paper, we study a class of Schrödinger–Bopp–Podolsky system. Under some suitable assumptions for the potentials, by developing some calculations of sharp energy estimates and using a topological argument involving the barycenter function, we establish the existence of positive bound state solution. |
| first_indexed | 2024-04-09T13:37:16Z |
| format | Article |
| id | doaj.art-5f601207794c4710916c44ce1996f7d8 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:16Z |
| publishDate | 2021-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5f601207794c4710916c44ce1996f7d82023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752021-01-012021411910.14232/ejqtde.2021.1.48581Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky systemKaimin Teng0Yunxia Yan1Taiyuan University of Technology, Taiyuan, P.R. ChinaTaiyuan University of Technology, Taiyuan, P.R. ChinaIn this paper, we study a class of Schrödinger–Bopp–Podolsky system. Under some suitable assumptions for the potentials, by developing some calculations of sharp energy estimates and using a topological argument involving the barycenter function, we establish the existence of positive bound state solution.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8581schrödinger–bopp–podolsky systemvariational approachcompeting potentialsbound state solution |
| spellingShingle | Kaimin Teng Yunxia Yan Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system Electronic Journal of Qualitative Theory of Differential Equations schrödinger–bopp–podolsky system variational approach competing potentials bound state solution |
| title | Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system |
| title_full | Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system |
| title_fullStr | Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system |
| title_full_unstemmed | Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system |
| title_short | Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system |
| title_sort | existence of positive bound state solution for the nonlinear schrodinger bopp podolsky system |
| topic | schrödinger–bopp–podolsky system variational approach competing potentials bound state solution |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8581 |
| work_keys_str_mv | AT kaiminteng existenceofpositiveboundstatesolutionforthenonlinearschrodingerbopppodolskysystem AT yunxiayan existenceofpositiveboundstatesolutionforthenonlinearschrodingerbopppodolskysystem |