Research Group:
Speaker:
Bangxian Han
Institution:
USTC
Schedule:
Thursday, September 21, 2023 - 14:00
Location:
A-133
Abstract:
During 1960s, Alexandroff, Bakelman, and Pucci introduced a method, called the ABP estimate today. It plays a key role in the regularity theory for fully nonlinear elliptic equations. In this talk, I will show how to generalize ABP estimate, with the help of optimal transport, to non-smooth metric measure spaces with synthetic lower Ricci curvatures bound.