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Trudinger-Moser type inequalities and the related applications in the nonlinear Schrodinger equations with critical exponential growth
朱茂春 副教授(江苏大学)
2020年7月17日下午14:00-15:00  腾讯会议 ID: 461 708 200

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.