Spacelike radial graphs of prescribed mean curvature in the Lorentz–Minkowski space

Abstract

We investigate the existence and uniqueness of spacelike radial graphs of prescribed mean curvature in the Lorentz–Minkowski space ${\mathbb{L}}^{n+1}$, for $n\ge 2$, spanning a given boundary datum lying on the hyperbolic space ${ℍ}^n$.