科研动态

12月10日下午14:30--15:30 阜成路西区综合楼1116会议室 唐仲伟 Infinitely many solutions for a critical Grushin type problem via local Pohozaev identities

 

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 (北京师范大学数学科学学院) 

报告时间:12月10日下午14:30--15:30

地点:阜成路西区综合楼1116会议室

报告人简介

  唐仲伟,北京师范大学教授、博士生导师。 2004年在中国科学院应用数学研究所获得博士学位,博士毕业后在北京师范大学工作至今,现任北京师范大学数学科学学院书记,北京市数学会副理事长。在2007年至2009年期间,作为洪堡学者在德国吉森大学访问两年,唐仲伟教授的研究领域是非线性分析与非线性椭圆型偏微分方程, 在J. Differential Equations, Commun. Contemp. Math., Calc. Var. Partial Differential Equations, NoDEA等国际期刊杂志上已发表学术论文40余篇,主持完成多项国家自然科学基金项目。

报告简介:

  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.