Existence of non-symmetric solutions to the Gaussian Minkowski problem

Yibin Feng; Weiru Liu; Lei Xu

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arXiv · 2207.06932

Existence of non-symmetric solutions to the Gaussian Minkowski problem

Yibin Feng·Weiru Liu·Lei Xu

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Abstract

Existence of symmetric solutions to the Gaussian Minkowski problem was established by Huang, Xi and Zhao. In this paper, we show the existence of non-symmetric solutions to this problem by studying the related Monge-Amp\`{e}re type equation on the sphere.

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Yibin Feng, Weiru Liu, Lei Xu. 2022-07-14. Existence of non-symmetric solutions to the Gaussian Minkowski problem. https://arxiv.org/abs/2207.06932

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