偏微分方程研讨班：Optimal Liouville theorems for fully nonlinear conformally invariant equations

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Yanyan Li (Rutgers University)   

题  目：Optimal Liouville theorems for fully nonlinear conformally invariant equations

时  间：2023.07.24（星期一）10:30-11:30

地  点：数学院南楼N933

摘 要：It is well known that entire positive harmonic functions are constants.   Another  classical theorem of Caffarelli, Gidas and Spruck says that entire positive solutions of $-\Delta u= u^{ (n+2)/(n-2)}$ in dimension $n$ are unique modulo Mobius transformations.   We extend the above two theorems to fully nonlinear elliptic equations of second order and obtain optimal Liouville theorems.  This is a joint work with Baozhi Chu and Zongyuan Li.