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

Abstract

In this paper 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 ${\mathbb{H}}^n$.