报告题目: Asymptotic Behaviors of Solutions to Nonlinear Elliptic Equations near Isolated Singular Points (IV)
报告人:韩青 教授(美国Notre Dame大学)
会议时间:2022/5/12 8:30开始
会议地点:腾讯会议,会议号:429-865-174
摘要:The main theme of this lecture series is on the asymptotic behaviors of bounded solutions to nonlinear elliptic equations near isolated singular points. Bounded solutions appear naturally in many problems related to geometry and physics. For bounded solutions, it is important to determine the leading term in the asymptotic expansion and the convergence rate.
The following topics will be covered:
1. Setup of the problems.
2. A model ODE.
3. Single PDEs.
4. Systems of PDEs.
报告人简介:韩青,美国圣母大学数学系终身教授、非线性偏微分方程和几何分析国际著名专家。获美国Sloan Research Fellowship。在等距嵌入、Monge-Ampere方程、调和函数的零点集和奇异集、退化方程等方面做出了一系列原创性的重要研究成果。发表在 Comm. Pure Appl. Math. , Geom. Funct. Anal. ,Duke Math. J. , J. Differential Geom.等国际顶级期刊上。