Optimal Liouville theorems for fully nonlinear conformally invariant equations
数学专题报告
报告题目(Title)：Optimal Liouville theorems for fully nonlinear conformally invariant equations
报告人(Speaker)：李岩岩 (美国Rutgers 大学)
地点(Place)：后主楼1124
时间(Time)：2023年7月16日(周日), 15:00-16:00
邀请人(Inviter)：熊金钢
报告摘要
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.
