Kelvin transforms and the asymptotic analysis
科研大讨论系列报告
报告题目(Title)： Kelvin transforms and the asymptotic analysis
报告人(Speaker)：Qing Han (University of Notre Dame)
地点(Place)：后主楼1124
时间(Time)：2023 年 10月 20日13：30—14：30
邀请人(Inviter)：熊金钢
报告摘要
It is well-known that the Kelvin transform plays an important role in studying harmonic functions. With the Kelvin transform, the study of harmonic functions near infinity is equivalent to studying the transformed harmonic functions near the origin. In this talk, we will demonstrate that the Kelvin transform also plays an important role in studying asymptotic behaviors of solutions of nonlinear elliptic near infinity. We will study solutions of the minimal surface equation, the Monge-Ampere equation, and the special Lagrange equation and prove an optimal decomposition of solutions near infinity.
