本项目已经连续受资助两年，申请团队以"学研"为出发点,在凸几何分析、Monge-Ampere方程、最优输运等理论基础方面已经有了很好的准备，同时在Lp-Brunn-Minkowski不等式、对偶Minkowski问题正则性研究已经取得了一些重要进展。在接下来的1-2年里，团队成员将带动博士研究生一起对Minkowski问题相关开问题展开研究，比如Christofell-Minkowski问题、对偶Minkowksi问题的最优运输理论等。2021年将在湖南大学邀请专家推出系列重要讲座以加强湖南大学“偏微分方程与几何分析”团队的影响，国际同行特别是青年科研人员在该领域的合作研究。

This project has been supported for two consecutive years. Our research group have made good preparation for convex geometry analysis, Monge-Ampere equations, optimal transportation and other theoretical basis based on "study and research", and have made some important progress in the study of Lp-Brunn-Minkowski inequality and the regularity of dual Minkowski problem. In the next 1-2 years, the team members with some Phd students carry out research on some open questions related with Minkowski problem, such as Christoffel-Minkowski problem, optimal transportation theory of dual minkowksi problem, etc. In 2021, we will invite some experts to give a series of important lectures in Hunan University , which is to strengthen the influence of the group of "partial differential equations and geometric analysis" of Hunan University, and international peers, especially young researchers, will closely cooperate in this field .