学术报告四十六:唐仲伟—Infinitely many solutions for a critical Grushin type problem via local Pohozaev identities

发布时间:2021-06-04

报告时间:20210612日(星期六)8:30-9:30

报告地点:翡翠科教楼B座1710

报 告 人:唐仲伟教授

工作单位:北京师范大学

举办单位:数学学院

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.

报告人简介:

唐仲伟,男,1976年生,教授,博士生导师,北京师范大学数学科学学院党委书记、教学指导委员会主任。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,20079月—20099月受德国洪堡基金会资助在德国吉森大学做洪堡学者,自20048月起在北京师范大学数学科学学院工作。主要研究领域为偏微分方程及非线性分析,在偏微分方程(组)的多峰解问题、薛定谔方程的基态解刻画等方面做出了一系列重要的研究工作,在Calc. Var. Partial Differential Equations, J.Differential  EquationsPacific J. Math.等期刊上发表高质量论文40余篇,主持国家自然科学基金三项,出版专著一部。