On the Serrin's problem with Robin boundary conditions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912614981828608 |
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| author | Gavitone, Nunzia Molinarolo, Riccardo |
| author_facet | Gavitone, Nunzia Molinarolo, Riccardo |
| contents | Let $Ω\subset \mathbb{R}^N$, $N\ge 2$, be an open, connected, bounded set with $C^2$ boundary. In this paper we consider the torsion problem with Robin boundary conditions and we study the symmetry of the solutions when suitable extra conditions are imposed on the boundary of $Ω$. In particular, we prove the Serrin's rigidity result under suitable assumptions on the domain and on the Robin parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24557 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Serrin's problem with Robin boundary conditions Gavitone, Nunzia Molinarolo, Riccardo Analysis of PDEs 35N25, 35A23, 35B50, 53A10 Let $Ω\subset \mathbb{R}^N$, $N\ge 2$, be an open, connected, bounded set with $C^2$ boundary. In this paper we consider the torsion problem with Robin boundary conditions and we study the symmetry of the solutions when suitable extra conditions are imposed on the boundary of $Ω$. In particular, we prove the Serrin's rigidity result under suitable assumptions on the domain and on the Robin parameter. |
| title | On the Serrin's problem with Robin boundary conditions |
| topic | Analysis of PDEs 35N25, 35A23, 35B50, 53A10 |
| url | https://arxiv.org/abs/2509.24557 |