Liouville-type theorems for coupled-drift Monge-Ampère equations

Ling Wang

In this paper, we study entire solutions and periodic correctors for the coupled-drift Monge-Ampère equation \[ \det D^2u = \exp\{-a\cdot Du+b\cdot x+V(x)-c_0\}, \quad D^2u>0. \] F…