报告人：朱茂春 副教授 （江苏大学）

主持人：叶东 教授

报告时间：2020年7月17日下午14：00-15：00

直播平台：腾讯会议 ID: 461 708 200 https://meeting.tencent.com/s/eJSmKE6D8e9X

报告人介绍：

  朱茂春，博士，江苏大学数学科学学院副教授。研究方向主要是几何不等式和偏微分方程理论，相关工作发表在Adv in Math.、Analysis & PDE.、Calc. Var. & PDE.、J. Differntial Equations.、Milan Journal of Mathematics，Discrete and Continuous Dynamical Systems，Manuscripta Math等国际知名SCI学术期刊； 主持国家自然科学基金青年项目一项，江苏省青年基金一项。

报告内容摘要：

Due to the wide range of applications in partial defferential equations, geometric analysis and String theory, Trudinger-Moser type inequalities, as the border-line case of the Sobolev embedding theorems, become one of the focus in the field of Functional analysis.  In this talk，I will give a survey about the history of  Trudinger Moser type inequalities, and introduce our recent work on this type inequalities; furthermore, I will present some new progress on the existence of extremal functions for the Trudinger-Moser functional and the existence of ground state solutions for a class of nonlinear Schrodinger equations with critical exponential growth.