Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities
In this paper, we study the existence and the limit behavior of normalized solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities and $ \frac{\alpha }{2}+2 < q < p < +\infty $. Moreover, we also get the relationship between the minimizer and the ground...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241677 |
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| author | Yipeng Qiu Yingying Xiao Yan Zhao Shengyue Xu |
| author_facet | Yipeng Qiu Yingying Xiao Yan Zhao Shengyue Xu |
| author_sort | Yipeng Qiu |
| collection | DOAJ |
| description | In this paper, we study the existence and the limit behavior of normalized solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities and $ \frac{\alpha }{2}+2 < q < p < +\infty $. Moreover, we also get the relationship between the minimizer and the ground state solution under the Pohožaev–Nehari manifold of the Chern–Simons–Schrödinger equations. |
| format | Article |
| id | doaj-art-6b0632aefb2c4ba88bb1198fd220d503 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-6b0632aefb2c4ba88bb1198fd220d5032025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912352933530710.3934/math.20241677Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearitiesYipeng Qiu0Yingying Xiao1Yan Zhao2Shengyue Xu3School of Mathematical Science, Jiangxi Science and Technology Normal University, 330038 Nanchang, Jiangxi, ChinaSchool of Mathematical Science, Jiangxi Science and Technology Normal University, 330038 Nanchang, Jiangxi, ChinaSchool of Mathematical Science, Jiangxi Science and Technology Normal University, 330038 Nanchang, Jiangxi, ChinaSchool of Mathematical Science, Jiangxi Science and Technology Normal University, 330038 Nanchang, Jiangxi, ChinaIn this paper, we study the existence and the limit behavior of normalized solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities and $ \frac{\alpha }{2}+2 < q < p < +\infty $. Moreover, we also get the relationship between the minimizer and the ground state solution under the Pohožaev–Nehari manifold of the Chern–Simons–Schrödinger equations.https://www.aimspress.com/article/doi/10.3934/math.20241677normalized solutionchern–simons–schrödinger equationschoquard-type nonlinearitiesvariational method |
| spellingShingle | Yipeng Qiu Yingying Xiao Yan Zhao Shengyue Xu Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities AIMS Mathematics normalized solution chern–simons–schrödinger equations choquard-type nonlinearities variational method |
| title | Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities |
| title_full | Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities |
| title_fullStr | Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities |
| title_full_unstemmed | Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities |
| title_short | Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities |
| title_sort | normalized ground state solutions for the chern simons schrodinger equations with mixed choquard type nonlinearities |
| topic | normalized solution chern–simons–schrödinger equations choquard-type nonlinearities variational method |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241677 |
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