On uniqueness and radiality of minimizers to $L^2$ supercritical Schr\'{o}dinger Poisson equations with general nonlinearities
| Autor: | Wu, Chengcheng, Song, Linjie |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study the uniqueness and the radial symmetry of minimizers on a Pohozaev-Nehari manifold to the Schr\"{o}dinger Poisson equation with a general nonlinearity $f(u)$. Particularly, we allow that $f$ is $L^2$ supercritical. The main result shows that minimizers are unique and radially symmetric modulo suitable translations. |
| Databáze: | arXiv |
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