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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.13137 |
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| _version_ | 1866917988842602496 |
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| author | Pacella, Filomena Tralli, Giulio |
| author_facet | Pacella, Filomena Tralli, Giulio |
| contents | We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provided in [3]. Then we study rigidity results for constant mean curvature graphs proving the precise statement of a result given in [9] and [10]. Finally we provide an integral estimate for stable constant mean curvature hypersurfaces in cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral formulas for hypersurfaces in cones and related questions Pacella, Filomena Tralli, Giulio Analysis of PDEs We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provided in [3]. Then we study rigidity results for constant mean curvature graphs proving the precise statement of a result given in [9] and [10]. Finally we provide an integral estimate for stable constant mean curvature hypersurfaces in cones. |
| title | Integral formulas for hypersurfaces in cones and related questions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.13137 |