Inverse curvature flows for capillary hypersurfaces in the unit ball

Published 16 Jul 2025 in math.DG and math.AP | (2507.12097v1)

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.

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