On the uniqueness of solutions to the isotropic $L_{p}$ dual Minkowski problem
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912453931040768 |
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| author | Hu, Yingxiang Ivaki, Mohammad N. |
| author_facet | Hu, Yingxiang Ivaki, Mohammad N. |
| contents | We prove that the unit sphere is the only smooth, strictly convex solution to the isotropic $L_p$ dual Minkowski problem
\begin{align*}
h^{p-1} |D h|^{n+1-q}\mathcal{K}=1,
\end{align*} provided $(p,q)\in (-n-1,-1]\times [n,n+1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15598 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the uniqueness of solutions to the isotropic $L_{p}$ dual Minkowski problem Hu, Yingxiang Ivaki, Mohammad N. Analysis of PDEs Differential Geometry Metric Geometry We prove that the unit sphere is the only smooth, strictly convex solution to the isotropic $L_p$ dual Minkowski problem \begin{align*} h^{p-1} |D h|^{n+1-q}\mathcal{K}=1, \end{align*} provided $(p,q)\in (-n-1,-1]\times [n,n+1)$. |
| title | On the uniqueness of solutions to the isotropic $L_{p}$ dual Minkowski problem |
| topic | Analysis of PDEs Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2309.15598 |