Inverse curvature flows for capillary hypersurfaces in the unit ball
Inverse curvature flows for capillary hypersurfaces in the unit ball
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.
Shujing Pan、Bo Yang
数学
Shujing Pan,Bo Yang.Inverse curvature flows for capillary hypersurfaces in the unit ball[EB/OL].(2025-07-16)[2025-08-16].https://arxiv.org/abs/2507.12097.点此复制
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