报告题目 (Title)：非线性对数薛定谔方程的一些最新结果（Some recent results on the nonlinear logarithmic Schrodinger equations）

报告人 (Speaker)： 姬超 副教授 (华东理工大学)

报告时间 (Time)：2022年9月20日（周二）9:00

报告地点 (Place)：腾讯会议 （ID： 345-329-762 会议密码：6789）

邀请人(Inviter)：朱佩成

主办部门：理学院数学系

报告摘要：

In this talk, we are concerned with the nonlinear logaritimic Schrodinger equations. When the potential satisfies a global assumption, we give the multiple solutions. When the potential satisfies a local assumption, due to del Pino and Felmer, we consider the existence and concentration of positive solutions. Then, based on some new estimates from previous research, the multi-bump solutions are obtained for a logarithmic Schrodinger equation with deepening potential well. Finally, we shall show the multiplicity of multi-peak positive solutions for the logarithmic Schrodinger equation with a multi-well potential. This is a joint work with Professor Claudianor O. Alves from Brazil.