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数学系学术报告-Infinitely many solutions for a critical Grushin type problem via local Pohozaev identities
作者:   发布时间:2021-04-01   访问次数:11

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:2021年4月2日(周五)13:30-14:30

腾讯ID:451 788 537 

 

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 a joint work with Min Liu from Liaoning Normal University and Chunhua Wang from Central China Normal University.

 

报告人简历:唐仲伟,教授,博士生导师,现任北京师范大学数学科学学院党委书记,北京数学会副理事长。2004年在中国科学院数学与系统科学研究院应用数学所获得博士学位, 2007年9月--2009年9月受德国洪堡基金会资助在德国吉森大学做洪堡学者,自2004年8月起在北京师范大学数学科学学院工作。主要研究方向是非线性偏微分方程,非线性分析等,在Sci. China Math., Calc. Var. Partial Differential Equations, J. Differential Equations,Pacific J. Math.等重要学术期刊上发表论文50余篇,主持国家自然科学基金五项。

 

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