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Existence of non-symmetric solutions to the Gaussian Minkowski problem

Authors :
Feng, Yibin
Liu, Weiru
Xu, Lei
Publication Year :
2022

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.

Subjects

Subjects :
Mathematics - Analysis of PDEs

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2207.06932
Document Type :
Working Paper

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