The $L_p$ Gauss image problem
Analysis of PDEs
2021-05-07 v1
Abstract
In this paper we study the Gauss image problem, which is a generalization of the Aleksandrov problem and the Gauss image problem in convex geometry. We obtain the existence result for the Gauss image problem in two cases (i) or (ii) with the given even measures.
Keywords
Cite
@article{arxiv.2105.02463,
title = {The $L_p$ Gauss image problem},
author = {Chuanxi Wu and Di Wu and Ni Xiang},
journal= {arXiv preprint arXiv:2105.02463},
year = {2021}
}
Comments
20 pages