Inverse curvature flows for capillary hypersurfaces in the unit ball
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918094653358080 |
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| author | Pan, Shujing Yang, Bo |
| author_facet | Pan, Shujing Yang, Bo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12097 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse curvature flows for capillary hypersurfaces in the unit ball Pan, Shujing Yang, Bo Differential Geometry Analysis of PDEs 53C44, 53C21, 35K93, 52A40 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. |
| title | Inverse curvature flows for capillary hypersurfaces in the unit ball |
| topic | Differential Geometry Analysis of PDEs 53C44, 53C21, 35K93, 52A40 |
| url | https://arxiv.org/abs/2507.12097 |