Orbital stability of standing waves for supercritical nls with potential on graphs
In this paper, we study the existence and stability of normalized standing waves for the nonlinear Schrödinger equation on a general starlike graph with potentials. Under general assumptions on the graph and the potential, we show the existence of orbitally stable standing waves when the nonlinearit...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2021
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| Texto completo: | http://hdl.handle.net/1843/37154 |
| País: | Brasil |
| Oai: | oai:repositorio.ufmg.br:1843/37154 |
| Resumo: | In this paper, we study the existence and stability of normalized standing waves for the nonlinear Schrödinger equation on a general starlike graph with potentials. Under general assumptions on the graph and the potential, we show the existence of orbitally stable standing waves when the nonlinearity is L2-critical and supercritical. |
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