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

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arxiv 2005.02639 v2 pith:LUOXF43Q submitted 2020-05-06 math.AP math.DG

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

Li Chen , YanNan Liu , Jian Lu , Ni Xiang This is my paper
classification math.AP math.DG
keywords problemdualevensmoothexistenceorlicz-minkowskisolutionsvectors
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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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