Capillary $L_p$ Minkowski Flows
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912575581585408 |
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| author | Hu, Jinrong Hu, Yingxiang Ivaki, Mohammad N. |
| author_facet | Hu, Jinrong Hu, Yingxiang Ivaki, Mohammad N. |
| contents | We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence of smooth solutions to the capillary even $L_p$ Minkowski problem in the Euclidean half-space for all $p \in (-n-1, \infty)$ and capillary $L_p$ Minkowski problem for $p > n+1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Capillary $L_p$ Minkowski Flows Hu, Jinrong Hu, Yingxiang Ivaki, Mohammad N. Analysis of PDEs Differential Geometry We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence of smooth solutions to the capillary even $L_p$ Minkowski problem in the Euclidean half-space for all $p \in (-n-1, \infty)$ and capillary $L_p$ Minkowski problem for $p > n+1$. |
| title | Capillary $L_p$ Minkowski Flows |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2509.06110 |