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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.19020 |
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| _version_ | 1866910152831008768 |
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| author | Bao, Jiguang Huang, Rongli Jiang, Qinfeng |
| author_facet | Bao, Jiguang Huang, Rongli Jiang, Qinfeng |
| contents | In this paper, we consider the existence of mean curvature type 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 mean curvature type equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19020 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The mean curvature type hypersurfaces with prescribed gradient image Bao, Jiguang Huang, Rongli Jiang, Qinfeng Analysis of PDEs 35J25 (Primary) 53A10 (Secondary) In this paper, we consider the existence of mean curvature type 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 mean curvature type equations. |
| title | The mean curvature type hypersurfaces with prescribed gradient image |
| topic | Analysis of PDEs 35J25 (Primary) 53A10 (Secondary) |
| url | https://arxiv.org/abs/2604.19020 |