A Heintze-Karcher type inequality for hypersurfaces with capillary boundary
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911870132158464 |
|---|---|
| author | Jia, Xiaohan Xia, Chao Zhang, Xuwen |
| author_facet | Jia, Xiaohan Xia, Chao Zhang, Xuwen |
| contents | In this paper, we establish a Heintze-Karcher type inequality for hypersurfaces with capillary boundary of contact angle $θ\in (0,\fracπ{2})$ in a half space or a half ball, by using solution to a mixed boundary value problem in Reilly type formula. Consequently, we give a new proof of Alexandrov type theorem for embedded capillary constant mean curvature hypersurfaces with contact angle $θ\in (0,\fracπ{2})$ in a half space or a half ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_06931 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Heintze-Karcher type inequality for hypersurfaces with capillary boundary Jia, Xiaohan Xia, Chao Zhang, Xuwen Differential Geometry Analysis of PDEs 53C24, 35J25, 53C21 In this paper, we establish a Heintze-Karcher type inequality for hypersurfaces with capillary boundary of contact angle $θ\in (0,\fracπ{2})$ in a half space or a half ball, by using solution to a mixed boundary value problem in Reilly type formula. Consequently, we give a new proof of Alexandrov type theorem for embedded capillary constant mean curvature hypersurfaces with contact angle $θ\in (0,\fracπ{2})$ in a half space or a half ball. |
| title | A Heintze-Karcher type inequality for hypersurfaces with capillary boundary |
| topic | Differential Geometry Analysis of PDEs 53C24, 35J25, 53C21 |
| url | https://arxiv.org/abs/2203.06931 |