报告题目:Variational framework and solutions to 1-Laplace equations
报 告人:李周欣 副教授 (中南大学)
报告时间:2021年12月8日(星期三)下午14:30-15:30
报告地点:腾讯会议:540-917-072
邀 请人:王友军 副教授
欢迎广大师生前往!
数学学院
2021年12月7日
报告摘要: In this talk, I will introduce some results about the eigenvalue problems for 1-Laplace operator and some recent results on the study about the existence of solutions to 1-Laplace equations. As the 1-Laplace operator is singular, the corresponding functional of 1-Laplace equation is established on BV space and is lower semicontinuous. I will introduce the variational framework that can be used to study the existence of solutions, this involving some tools of nonsmooth critical point theorems and convex analysis.