The constant mean curvature hypersurfaces with prescribed gradient image
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929573864669184 |
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| author | Huang, Rongli Wei, Dayan Ye, Yunhua |
| author_facet | Huang, Rongli Wei, Dayan Ye, Yunhua |
| contents | In this paper, we consider the existence of constant mean curvature hypersurfaces with prescribed gradient image. Let $Ω$ and $\tildeΩ$ be uniformly convex bounded domains in $\mathbb{R}^n$ with smooth boundary. We show that there exists unique convex solutions for the second boundary value problem of constant mean curvature equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00817 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The constant mean curvature hypersurfaces with prescribed gradient image Huang, Rongli Wei, Dayan Ye, Yunhua Differential Geometry Analysis of PDEs Primary 53C44, Secondary 53A10 In this paper, we consider the existence of constant mean curvature hypersurfaces with prescribed gradient image. Let $Ω$ and $\tildeΩ$ be uniformly convex bounded domains in $\mathbb{R}^n$ with smooth boundary. We show that there exists unique convex solutions for the second boundary value problem of constant mean curvature equations. |
| title | The constant mean curvature hypersurfaces with prescribed gradient image |
| topic | Differential Geometry Analysis of PDEs Primary 53C44, Secondary 53A10 |
| url | https://arxiv.org/abs/2411.00817 |