Monotonicity Conjectures and Sharp Stability for Solitons of the Cubic-Quintic NLS on R^3
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911245942128640 |
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| author | Zhang, Jian Wang, Chenglin Zhu, Shihui |
| author_facet | Zhang, Jian Wang, Chenglin Zhu, Shihui |
| contents | This paper deals with the cubic-quintic nonlinear Schrödinger equation on R^3. Two monotonicity conjectures for solitons posed by Killip, Oh, Pocovnicu and Visan are completely resolved: one concerning frequency monotonicity, and the other concerning mass monotonicity. Uniqueness of the energy minimizer is proved. Then sharp stability of the solitons is established. And classification of normalized solutions is first presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00471 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monotonicity Conjectures and Sharp Stability for Solitons of the Cubic-Quintic NLS on R^3 Zhang, Jian Wang, Chenglin Zhu, Shihui Analysis of PDEs This paper deals with the cubic-quintic nonlinear Schrödinger equation on R^3. Two monotonicity conjectures for solitons posed by Killip, Oh, Pocovnicu and Visan are completely resolved: one concerning frequency monotonicity, and the other concerning mass monotonicity. Uniqueness of the energy minimizer is proved. Then sharp stability of the solitons is established. And classification of normalized solutions is first presented. |
| title | Monotonicity Conjectures and Sharp Stability for Solitons of the Cubic-Quintic NLS on R^3 |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.00471 |