报告题目:A variational approach in the exponential nonlinear equation
报告人:周春琴 教授(上海交通大学)
报告时间:2020年10月29日 周四 14:00-15:00
报告地点:(腾讯会议ID:47530735615)
摘要:In this talk, we will introduce some kinds of equations with exponential nonlinearities motivated by uniformization problems as well as from models in Mathematical Physics. In regard to the existence, we will review the results of these equations from a variational point of view. Finally, we will focus on the solvability of a kind of the exponential Neumann boundary problem by using Malchiodi’s min-max method, which is a joint work with Tao Zhang.
报告人简介:上海交通大学教授,从事非线性偏微分方程及其应用的研究,特别是对椭圆偏微分方程的存在性和正则性理论,调和映射的正则性理论,和半线性椭圆型方程的blow-up分析理论和存在性方法进行过系统的研究,对椭圆型方程的正则性理论和半线性偏微分方程的blow-up分析方法有了深刻的理解,并取得了一批有深刻意义的研究成果。相关工作发表在Ann. Inst. H. Poincaré Anal. Non Linéaire, Calc. Var. Partial Differential Equations, Comm. Partial Differential Equations, J. Differential Geom., J. Funct. Anal., J. Math. Pures Appl., Math. Ann. 等杂志上。