Infinitely many solutions for a critical Grushin type problem via local Pohozaev identities

发布者:王丹丹发布时间:2020-11-03浏览次数:388

非线性分析系列报告

报告题目:Infinitely many solutions for a critical Grushin type problem via local Pohozaev identities

报告人:唐仲伟教授

报告时间:2020/11/5 14:30-15:30

报告形式:腾讯会议

会议ID924 681 487

会议密码:123456

报告摘要:In this talk, we are concerned with a critical Grushin type problem. By applying Lyapunov-Schmidt reduction argument and attaching appropriate assumptions, we prove that this problem has infinitely many positive multi-bubbling solutions with arbitrarily large energy and cylindrical symmetry. Instead of estimating the corresponding derivatives of the reduced functional in locating the concentration points of the solutions, we employ the local Pohozaev identities to locate them. This is an jiont work with Min Liu from Liaoning Normal University and Chunhua Wang from Central China Normal University.

报告人简介:唐仲伟,男,1976年生,2004年从中国科学院数学与系统科学研究院博士毕业后在北京师范大学工作至今,现为北京师范大学数学科学学院党委书记,教授,博士生导师,北京数学会副理事长。主要研究方向是非线性偏微分方程及非线性分析。在2007年至2009年期间作为洪堡学者访问德国学生大学两年。