Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Abstract In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry. In particular, we extend the Liouville theorem for smooth solutions to the case of viscosity solutions by a completely different method from the smooth case.