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arXiv · 2005.02639

Existence of smooth even solutions to the dual Orlicz-Minkowski problem

Li Chen·YanNan Liu·Jian Lu·Ni Xiang
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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.

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Li Chen, YanNan Liu, Jian Lu, Ni Xiang. 2020-05-06. Existence of smooth even solutions to the dual Orlicz-Minkowski problem. https://arxiv.org/abs/2005.02639

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