题目：Some recent results on the dual Orlicz-Minkowski problem

报告人：鲁建教授（华南师范大学）

时间：2021年12月15日14：30-16：30

摘要：The dual Orlicz-Minkowski problem arises from modern convex geometry. In the smooth case, it is equivalent to solving a class of Monge-Ampere type equations defined on the unit hypersphere. These equations could be degenerate or singular in different conditions. We study some geometric flows related to the dual Orlicz-Minkowski problem. These flows involve Gauss curvature and functions of normal vectors and radial vectors. By proving their long-time existence and convergence, we obtain new existence results of solutions to the dual Orlicz-Minkowski problem for smooth measures. We also discuss the uniqueness and nonuniqueness of solutions to a planar case of this problem.

腾讯会议：225-740-567