报告名称：On a class of Monge-Ampere type equations on the unit hypersphere

主办单位：永利集团88304官网

报告专家：鲁建

专家所在单位：华南师范大学

报告时间：6月18日下午15:00-17:00

报告地点：腾讯会议322600207（密码：123456）

专家简介：鲁建，2013年在清华大学获博士学位，现为华南师范大学副教授。研究方向主要为偏微分方程，特别是Monge-Ampere型方程及其在几何中的应用。在Adv. Math.、J. Funct. Anal.、Trans. AMS、Calc. Var. PDE、Int. Math. Res. Not.、J. Diff. Equations等数学期刊上发表SCI收录论文十余篇。主持国家自然科学基金面上项目等多项课题。

报告摘要：We will discuss a class of Monge-Ampere type equations defined on the unit hypersphere, which are related to the Orlicz-Brunn-Minkowski theory in modern convex geometry. These equations are fully nonlinear partial differential equations, and could be degenerate or singular in different cases. We will talk about some recent results about the existence and non-uniqueness of solutions to these equations.

邀请人：向妮