A Serrin-type over-determined problem for Hessian equations in the exterior domain
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915066032422912 |
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| author | Wang, Bo Wang, Zhizhang |
| author_facet | Wang, Bo Wang, Zhizhang |
| contents | In this paper, we consider the Hessian equations in some exterior domain with prescribed asymptotic behavior at infinity and Dirichlet-Neumann conditions on its interior boundary. We obtain that there exists a unique bounded domain such that the over-determined problem admits a unique strictly convex solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11841 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Serrin-type over-determined problem for Hessian equations in the exterior domain Wang, Bo Wang, Zhizhang Analysis of PDEs In this paper, we consider the Hessian equations in some exterior domain with prescribed asymptotic behavior at infinity and Dirichlet-Neumann conditions on its interior boundary. We obtain that there exists a unique bounded domain such that the over-determined problem admits a unique strictly convex solution. |
| title | A Serrin-type over-determined problem for Hessian equations in the exterior domain |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.11841 |