Title：Liouville theorems on the upper half space

Speaker：Zhu, Meijun  （University of Oklahoma）

Time：2019年6月24日     上午  10:00-11:00

Room：东区管理科研楼  0029cc金沙贵宾会1208室

Abstract：In this talk I will describe  some new Liouville theorems for  solutions bounded from below  to certain linear elliptic equations on the upper half space. In particular, we show that  for $a/in (0, 1)$  constants are the only $C^1$ up to the boundary positive solutions to $div(x_n^a /nabla u)=0$ on the upper half space ${(x_1, ..., x_n) : x_n>0}$. This is a joint work with Lei Wang.