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Inverse curvature flows for capillary hypersurfaces in the unit ball

Inverse curvature flows for capillary hypersurfaces in the unit ball

来源:Arxiv_logoArxiv
英文摘要

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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