On uniqueness and radiality of minimizers to $L^2$ supercritical Schrödinger Poisson equations with general nonlinearities
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914502878953472 |
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| author | Wu, Chengcheng Song, Linjie |
| author_facet | Wu, Chengcheng Song, Linjie |
| contents | We study the uniqueness and the radial symmetry of minimizers on a Pohozaev-Nehari manifold to the Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_08229 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On uniqueness and radiality of minimizers to $L^2$ supercritical Schrödinger Poisson equations with general nonlinearities Wu, Chengcheng Song, Linjie Analysis of PDEs We study the uniqueness and the radial symmetry of minimizers on a Pohozaev-Nehari manifold to the Schrödinger 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. |
| title | On uniqueness and radiality of minimizers to $L^2$ supercritical Schrödinger Poisson equations with general nonlinearities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2304.08229 |