The mean curvature equation on semidirect products ${\mathbb{R}}^2{⋊}_A\mathbb{R}$: Height estimates and Scherk-like graphs

Alvaro Ramos

On the ambient space of a Lie group with a left invariant metric that is isometric and isomorphic to a semidirect product ${\mathbb{R}}^2{⋊}_A\mathbb{R}$, we consider a domain $Ω…