Inverse curvature flows for capillary hypersurfaces in the unit ball

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.

arXiv comment28 pages. All comments are welcome