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

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.

arXiv admin note: text overlap with arXiv:2005.02376