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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.23128 |
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| _version_ | 1866908614361350144 |
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| author | Liao, Xin Lv, Juntao |
| author_facet | Liao, Xin Lv, Juntao |
| contents | We investigate the limiting behavior of solutions with infinitely many peaks to nonlinear Schrödinger equations [-epsilon^2 Delta u_epsilon + u_epsilon = u_epsilon^p, u_epsilon > 0 in R^n,] as epsilon -> 0, where p is Sobolev subcritical. We derive the interaction law among the limiting peak points and complete the analysis for the previously unresolved range 1 < p < 2, extending the work of Ao, Lv, and Wang (J. Differential Equations, 2025). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From nonlinear Schrödinger equation to interacting particle system: 1 < p < 2 Liao, Xin Lv, Juntao Analysis of PDEs 35B40, 35C20, 35Q55 We investigate the limiting behavior of solutions with infinitely many peaks to nonlinear Schrödinger equations [-epsilon^2 Delta u_epsilon + u_epsilon = u_epsilon^p, u_epsilon > 0 in R^n,] as epsilon -> 0, where p is Sobolev subcritical. We derive the interaction law among the limiting peak points and complete the analysis for the previously unresolved range 1 < p < 2, extending the work of Ao, Lv, and Wang (J. Differential Equations, 2025). |
| title | From nonlinear Schrödinger equation to interacting particle system: 1 < p < 2 |
| topic | Analysis of PDEs 35B40, 35C20, 35Q55 |
| url | https://arxiv.org/abs/2510.23128 |