Capillary Orlicz-Minkowski flow in the upper half-space
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909996639322112 |
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| author | Li, Guanghan Liu, Chenyang |
| author_facet | Li, Guanghan Liu, Chenyang |
| contents | In this paper, we study the long-time existence and asymptotic behavior of an anisotropic capillary Gauss curvature flow. By studying this flow and proving its convergence to a stationary solution, we establish a new existence result for the capillary Orlicz-Minkowski problem without the evenness assumption, and provide a flow approach to the existence of smooth solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14659 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Capillary Orlicz-Minkowski flow in the upper half-space Li, Guanghan Liu, Chenyang Differential Geometry In this paper, we study the long-time existence and asymptotic behavior of an anisotropic capillary Gauss curvature flow. By studying this flow and proving its convergence to a stationary solution, we establish a new existence result for the capillary Orlicz-Minkowski problem without the evenness assumption, and provide a flow approach to the existence of smooth solutions. |
| title | Capillary Orlicz-Minkowski flow in the upper half-space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2601.14659 |