Capillary $L_p$-curvature problem
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914350400274432 |
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| author | Hu, Yingxiang Ivaki, Mohammad N. |
| author_facet | Hu, Yingxiang Ivaki, Mohammad N. |
| contents | We prove a gradient estimate for a class of capillary curvature equations in the half-space. As an application, we prove the existence of an even, smooth, strictly convex solution to the even capillary $L_p$-curvature problem for all $1<p<k+1$ and all contact angles $θ\in(0,π/2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21832 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Capillary $L_p$-curvature problem Hu, Yingxiang Ivaki, Mohammad N. Analysis of PDEs Differential Geometry We prove a gradient estimate for a class of capillary curvature equations in the half-space. As an application, we prove the existence of an even, smooth, strictly convex solution to the even capillary $L_p$-curvature problem for all $1<p<k+1$ and all contact angles $θ\in(0,π/2)$. |
| title | Capillary $L_p$-curvature problem |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2602.21832 |