2020/05/06 by Li Chen, Chen, Li, Yan‐Nan Liu +5
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2005.02639
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.