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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2311.18585 |
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| _version_ | 1866917660641460224 |
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| author | Jia, Xiaohan Lu, Zheng Xia, Chao Zhang, Xuwen |
| author_facet | Jia, Xiaohan Lu, Zheng Xia, Chao Zhang, Xuwen |
| contents | In this paper, we first prove a rigidity result for a Serrin-type partially overdetermined problem in the half-space, which gives a characterization of capillary spherical caps by the overdetermined problem. In the second part, we prove quantitative stability results for the Serrin-type partially overdetermined problem, as well as capillary almost constant mean curvature hypersurfaces in the half-space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18585 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces Jia, Xiaohan Lu, Zheng Xia, Chao Zhang, Xuwen Analysis of PDEs In this paper, we first prove a rigidity result for a Serrin-type partially overdetermined problem in the half-space, which gives a characterization of capillary spherical caps by the overdetermined problem. In the second part, we prove quantitative stability results for the Serrin-type partially overdetermined problem, as well as capillary almost constant mean curvature hypersurfaces in the half-space. |
| title | Rigidity and quantitative stability for partially overdetermined problems and capillary CMC hypersurfaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.18585 |