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arXiv · 2309.15598

On the uniqueness of solutions to the isotropic $L_{p}$ dual Minkowski problem

Yingxiang Hu·Mohammad N. Ivaki
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Abstract

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 $(p,q)\in (-n-1,-1]\times [n,n+1)$.

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Yingxiang Hu, Mohammad N. Ivaki. 2023-09-27. On the uniqueness of solutions to the isotropic $L_{p}$ dual Minkowski problem. https://doi.org/10.1016/j.na.2024.113493

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