Sharp Stability of Solitons for the Cubic-Quintic NLS on R^2
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908624435019776 |
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| author | Jiang, Yi Wang, Chenglin Xiao, Yibin Zhang, Jian Zhu, Shihui |
| author_facet | Jiang, Yi Wang, Chenglin Xiao, Yibin Zhang, Jian Zhu, Shihui |
| contents | This paper concerns with the cubic-quintic nonlinear Schrödinger equation on R^2. A family of new variational problems related to the solitons are introduced and solved. Some key monotonicity and uniqueness results are obtained. Then the orbital stability of solitons at every frequency are proved in terms of the Cazenave and Lions' argument. And classification of normalized ground states is first presented. Our results settle the questions raised by Lewin and Rota Nodari as well as Carles and Sparber. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp Stability of Solitons for the Cubic-Quintic NLS on R^2 Jiang, Yi Wang, Chenglin Xiao, Yibin Zhang, Jian Zhu, Shihui Analysis of PDEs This paper concerns with the cubic-quintic nonlinear Schrödinger equation on R^2. A family of new variational problems related to the solitons are introduced and solved. Some key monotonicity and uniqueness results are obtained. Then the orbital stability of solitons at every frequency are proved in terms of the Cazenave and Lions' argument. And classification of normalized ground states is first presented. Our results settle the questions raised by Lewin and Rota Nodari as well as Carles and Sparber. |
| title | Sharp Stability of Solitons for the Cubic-Quintic NLS on R^2 |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.00474 |