题目：Lp-Brunn-Minkowski Inequality for p<1

报告人：陈世炳 教授 （中国科学技术大学）

地点：致远楼 101 室

时间：2019 年 07 月06 日 10:00-11:00

摘要：I will discuss a PDE approach to the Lp-Brunn-Minkowski inequality for p<1. The Brunn-Minkowski inequality is one of the most important inequalities in the convex geometry. After the works of Firey, Lutwak and et al., many efforts are devoted to extending the inequality to the case p<1. In particular Kolesnikov-Milman established a local Lp-Brunn-Minkowski inequality. I will discuss a proof of the global inequality using the regularity theory of Monge-Ampere equation and Leray Schauder degree theory. This is based on a joint work with Huang, Li and Liu.

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