Capillary $L_p$-Christoffel-Minkowski problem
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918266048348160 |
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| author | Hu, Yingxiang Ivaki, Mohammad N. |
| author_facet | Hu, Yingxiang Ivaki, Mohammad N. |
| contents | We solve the capillary $L_p$-Christoffel--Minkowski problem in the half-space for $1<p<k+1$ in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate that yields lower bounds for both the height and the capillary support function. Our result extends the capillary Christoffel--Minkowski existence result of \cite{HIS25}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15464 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Capillary $L_p$-Christoffel-Minkowski problem Hu, Yingxiang Ivaki, Mohammad N. Analysis of PDEs Differential Geometry We solve the capillary $L_p$-Christoffel--Minkowski problem in the half-space for $1<p<k+1$ in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate that yields lower bounds for both the height and the capillary support function. Our result extends the capillary Christoffel--Minkowski existence result of \cite{HIS25}. |
| title | Capillary $L_p$-Christoffel-Minkowski problem |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2512.15464 |