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A Heintze-Karcher type inequality for hypersurfaces with capillary boundary
- Source :
- J. Geom. Anal. 33 (2023), no.6, Paper No. 177, 19 pp
- Publication Year :
- 2022
-
Abstract
- In this paper, we establish a Heintze-Karcher type inequality for hypersurfaces with capillary boundary of contact angle $\theta\in (0,\frac{\pi}{2})$ 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 $\theta\in (0,\frac{\pi}{2})$ in a half space or a half ball.
Details
- Database :
- arXiv
- Journal :
- J. Geom. Anal. 33 (2023), no.6, Paper No. 177, 19 pp
- Publication Type :
- Report
- Accession number :
- edsarx.2203.06931
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s12220-023-01230-z