HOMEOMORPHISM OF FINITE DISTORTION AND THE (INV) CONDITION
数学公众报告(120周年校庆系列第89场)
报告题目(Title):HOMEOMORPHISM OF FINITE DISTORTION AND THE (INV) CONDITION
报告人(Speaker):朱政 副教授(北京航空航天大学)
地点(Place):后主楼1124
时间(Time):2023年4月7日(周五), 16:00-17:00
邀请人(Inviter):杨大春,袁文,周渊
报告摘要
The (INV) condition is a weak version of invertibility which was firstly defined by Muller and Spector [ARMA, 1995]. After that, it is widely used in the field about variational problems. We give sharp integrability of distortion funtcions to guarantee the weak limit of a sequence of $W^{1, n-1}$ homeomorphisms with fixed boundary value and between bounded Lipschitz domains, satisfies the (INV) condition. It covers the main result in the paper [arXiv:2112.08041] by Dolezalova, Hencl and Maly. Joint with Dolezalova and Onninen.