Inverse curvature flows for capillary hypersurfaces in the unit ball
Differential Geometry
2025-07-17 v1 Analysis of PDEs
Abstract
In this paper, we study inverse curvature flows for strictly convex, capillary hypersurfaces in the unit Euclidean ball. We establish the existence and convergence results for a class of such flows. As an application, we derive a family of Alexandrov Fenchel inequalities for weakly convex hypersurfaces with free boundary.
Keywords
Cite
@article{arxiv.2507.12097,
title = {Inverse curvature flows for capillary hypersurfaces in the unit ball},
author = {Shujing Pan and Bo Yang},
journal= {arXiv preprint arXiv:2507.12097},
year = {2025}
}
Comments
28 pages. All comments are welcome