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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.18581 |
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| _version_ | 1866913630339989504 |
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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 note, we study a Serrin-type partially overdetermined problem proposed by Guo-Xia (Calc. Var. Partial Differential Equations 58: no. 160, 2019. https://doi.org/10.1007/s00526-019-1603-3, and prove a rigidity result that characterizes capillary spherical caps in a half ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18581 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A characterization of capillary spherical caps by a partially overdetermined problem in a half ball Jia, Xiaohan Lu, Zheng Xia, Chao Zhang, Xuwen Analysis of PDEs In this note, we study a Serrin-type partially overdetermined problem proposed by Guo-Xia (Calc. Var. Partial Differential Equations 58: no. 160, 2019. https://doi.org/10.1007/s00526-019-1603-3, and prove a rigidity result that characterizes capillary spherical caps in a half ball. |
| title | A characterization of capillary spherical caps by a partially overdetermined problem in a half ball |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.18581 |