Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space
Differential Geometry
2025-02-12 v2
Abstract
In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space, which generalizes Julin-Niinikoski's result to the capillary case. The proof is based on the quantitative analysis of the Montiel-Ros-type argument carried out in our joint works with Wang-Xia.
Cite
@article{arxiv.2403.06597,
title = {Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space},
author = {Xiaohan Jia and Xuwen Zhang},
journal= {arXiv preprint arXiv:2403.06597},
year = {2025}
}
Comments
main result improved