Some recent results on the dual Orlicz-Minkowski problem
报告人：Jian Lu （South China Normal University）
时间：2021-09-29 09:00-10:00
地点：Online
Abstract:
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.
Speaker：
Jian Lu
2013年在清华大学获博士学位，现为华南师范大学副教授。研究方向主要为 Monge-Ampere 型等非线性偏微分方程及其应用。在数学学术期刊上发表论文十余篇，主持国家自然科学基金面上项目和优秀青年项目等多项课题。
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