Regularity of the $p$-Gauss curvature flow with flat side
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910517628502016 |
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| author | Huang, Genggeng Wang, Xu-Jia Zhou, Yang |
| author_facet | Huang, Genggeng Wang, Xu-Jia Zhou, Yang |
| contents | We study the regularity of the $p$-Gauss curvature flow with flat side. In our previous paper(arxiv:2403.12292), we obtained the regularity of the interface, namely the boundary of the flat part. In this paper, we study the regularity of the convex hypersurface near the interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of the $p$-Gauss curvature flow with flat side Huang, Genggeng Wang, Xu-Jia Zhou, Yang Differential Geometry Analysis of PDEs 53E40, 35K96, 35R35, 35B65 We study the regularity of the $p$-Gauss curvature flow with flat side. In our previous paper(arxiv:2403.12292), we obtained the regularity of the interface, namely the boundary of the flat part. In this paper, we study the regularity of the convex hypersurface near the interface. |
| title | Regularity of the $p$-Gauss curvature flow with flat side |
| topic | Differential Geometry Analysis of PDEs 53E40, 35K96, 35R35, 35B65 |
| url | https://arxiv.org/abs/2407.05663 |