A flow method to isoperimetric inequality for mean convex star-shaped capillary hypersurfaces in a cone
In this paper, the Minkowski formula and the Heintze-Karcher inequality are obtained for hypersurfaces with capillary boundary in a cone. Then we study a type of inverse mean curvature flow in a cone, as well as its long-time existence and convergence. As a result we derive the capillary isoperimetric inequality for mean convex star-shaped hypersurfaces with capillary boundary in a cone.
Authors
- Guanghan Li (ORCID: https://orcid.org/0000-0003-2491-5232)
- Yifan Yang
Institutions
- Wuhan University (CN)
Publication Details
- Journal
- Differential Geometry and its Applications
- Published
- 2026-01-14
- DOI
- https://doi.org/10.1016/j.difgeo.2025.102329
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00