Speaker：Jian Lu (South China Normal University)

Time：2023-10-23, 14:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

The chord log-Minkowski problem arises from integral geometry, which was initially proposed by Lutwak-Xi-Yang-Zhang recently. In the smooth case, it is equivalent to solving a type of nonlocal Monge-Ampere equation on the unit hypersphere. Actually, it involves a Riesz potential defined on a bounded domain. We will mainly talk about a new result on the regularity of solutions to the chord log-Minkowski problem, which is based on a joint work with Jinrong Hu and Yong Huang.