A characterization of capillary spherical caps by a partially overdetermined problem in a half ball
arXiv:2311.18581 · doi:10.1090/proc/17049
Abstract
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.
References in corpus (4)
- A Heintze-Karcher type inequality for hypersurfaces with capillary boundary
- Alexandrov, Serrin, Weinberger, Reilly: simmetry and stability by integral identities
- Quantitative symmetry in a mixed Serrin-type problem for a constrained torsional rigidity
- Soap bubbles and convex cones: optimal quantitative rigidity