A half-space theorem for graphs of constant mean curvature   $0<H<\frac{1}{2}$ in $\mathbb{H}^2\times\mathbb{R}$
  We study a half-space problem related to graphs in $\mathbb{H}^2\times\mathbb{R}$, where $\mathbb{H}^2$ is the hyperbolic plane, having constant mean curvature $H$ defined over unbounded domains in $\mathbb{H}^2$. 
Laurent Mazet and Gabriela A. Wanderley
math.DG