A Liouville theorem for the Lane-Emden system in the half-space
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910987794251776 |
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| author | Li, Yimei Souplet, Philippe |
| author_facet | Li, Yimei Souplet, Philippe |
| contents | We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was previously available only for bounded solutions or under a restriction on the powers in the nonlinearities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Liouville theorem for the Lane-Emden system in the half-space Li, Yimei Souplet, Philippe Analysis of PDEs We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was previously available only for bounded solutions or under a restriction on the powers in the nonlinearities. |
| title | A Liouville theorem for the Lane-Emden system in the half-space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.17007 |