鲁新宝博士学术报告:The Lp Minkowski problem for the electrostatic capacity
发布时间:2024-11-01 浏览次数:10
报告人:鲁新宝助理教授
报告时间:2024年11月11日上午9:00-10:00
腾讯会议:425-678-120
报告题目:The Lp Minkowski problem for the electrostatic capacity
报告人简介:鲁新宝,同济大学助理教授。2022年博士毕业于同济大学,2022年至2024年在上海数学中心从事博士后研究工作。主要研究凸体几何,特别是等周型问题与 Minkowski 型问题,已在 Math. Ann.、Israel J. Math.、Indiana Univ. Math. J.、Discrete Comput. Geom. 等国际纯数学的重要期刊上发表数篇论文。
报告摘要:The Minkowski problem for the electrostatic capacity, which was originally posed and solved by D. Jerison (Acta Math. 176 (1996), 1-47), is an extremely important variant among Minkowski type problems. In this talk, I will speak on our recent work on the Lp Minkowski problem for the electrostatic capacity. Specifically, we prove the existence and uniqueness of the solution for p>1 and existence of the solution for 0 < p < 1, respectively. This talk is based on joint works with Ge Xiong and Jiawei Xiong.