Existence of non-symmetric solutions to the Gaussian Minkowski problem
Analysis of PDEs
2022-07-15 v1
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.
Cite
@article{arxiv.2207.06932,
title = {Existence of non-symmetric solutions to the Gaussian Minkowski problem},
author = {Yibin Feng and Weiru Liu and Lei Xu},
journal= {arXiv preprint arXiv:2207.06932},
year = {2022}
}