Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918490137427968 |
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| author | Dovetta, Simone Serra, Enrico Tentarelli, Lorenzo |
| author_facet | Dovetta, Simone Serra, Enrico Tentarelli, Lorenzo |
| contents | We provide a non-uniqueness result for normalized ground states of nonlinear Schrödinger equations with pure power nonlinearity on polygons with homogeneous Neumann boundary conditions, defined as global minimizers of the associated energy functional among functions with prescribed mass. Precisely, for nonlinearity powers slightly smaller than the $L^2$-critical exponent, we prove that there always exists at least one value of the mass for which normalized ground states are not unique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions Dovetta, Simone Serra, Enrico Tentarelli, Lorenzo Analysis of PDEs We provide a non-uniqueness result for normalized ground states of nonlinear Schrödinger equations with pure power nonlinearity on polygons with homogeneous Neumann boundary conditions, defined as global minimizers of the associated energy functional among functions with prescribed mass. Precisely, for nonlinearity powers slightly smaller than the $L^2$-critical exponent, we prove that there always exists at least one value of the mass for which normalized ground states are not unique. |
| title | Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.15142 |