几何与代数基础科学研究中心
Some existence and nonuniqueness results on Minkowski type problems
鲁建 教授(南京理工大学)
2026年1月7日周三 10：00 -–11：00 闵行校区数学楼401
主持人：张德凯
报告人简介：
鲁建，南京理工大学教授，国家级青年人才，研究方向为Monge-Ampere型等非线性偏微分方程及其应用。其成果发表于 Adv.Math.、TAMS、J. Funct. Anal.、Calc. Var. Partial Differ.Equ.、IMRN 等学术期刊。主持国家自然科学基金优秀青年科学基金项目及多项面上项目。
报告摘要：
Minkowski type problems arise from modern convex geometry and integral geometry. In the smooth case, they are usually equivalent tosolving a class of local/nonlocal Monge-Ampere type equations definedon the unit hypersphere. These equations could be degenerate or singular in different conditions. We will talk about some new results onthe existence and nonuniqueness of solutions to the dual Minkowski.
