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arXiv · 2211.10956

On the Lp Gaussian Minkowski problem

Yibin Feng·Shengnan Hu·Lei Xu
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Abstract

Existence of symmetric (resp. asymmetric) solutions to the $L_p$ Gaussian Minkowski problem for $p\leq 0$ (resp. $p\geq 1$) will be provided. Moreover, existence and uniqueness of smooth solutions to the problem for $p>n$ will also be proved without the restriction that the Gaussian volumes of convex bodies are not less than one-second.

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Yibin Feng, Shengnan Hu, Lei Xu. 2022-11-20. On the Lp Gaussian Minkowski problem. https://arxiv.org/abs/2211.10956

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