Research demonstrates convergence of inverse curvature flows in a unit ball, suggesting new inequalities for weakly convex surfaces.
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.
No takes yet. Share an insight, caveat, or question.
Pan et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: