科学研究

Scientific Research

当前位置: 首页 > 科学研究 > 学术报告 > 数苑博雅讲座 > 正文

数苑博雅讲座(67):Free boundary regularity in the Monopolist’s problem

来源:
|
发布时间:2026-06-03
报告时间:
2026年6月2日(周二)上午10:30-11:30
报告地点:
国交2栋315会议室
报告人:
陈世炳
报告人单位:
中国科学技术大学
邀请人:
唐岚
摘要:
We study the free boundary regularity in the Monopolist's problem,a variational problem with convexity constrannt aristng in economic mechanism design .In dimension two,we show that the free boundary is locally a C1 curve under natural assumptigns The proof relies on a detailed analysis of the geometry of contact sets and the fine structure of affine regions of the minimizer. Based on a joint work with Alessio Figalli and Yi Zhang.