Existence of smooth even solutions to the dual Orlicz-Minkowski problem
Analysis of PDEs
2020-07-17 v2 Differential Geometry
Abstract
In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gauss curvature and functions of normal vectors and radial vectors, we obtain a new existence result of smooth even solutions to this problem for smooth even measures.
Keywords
Cite
@article{arxiv.2005.02639,
title = {Existence of smooth even solutions to the dual Orlicz-Minkowski problem},
author = {Li Chen and YanNan Liu and Jian Lu and Ni Xiang},
journal= {arXiv preprint arXiv:2005.02639},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2005.02376