Curvature estimates for spacelike graphic hypersurfaces in Lorentz–Minkowski space R1n+1$\mathbb {R}^{n+1}_{1}$.

In this paper, we can obtain curvature estimates for spacelike admissible graphic hypersurfaces in the (n+1)$(n+1)$‐dimensional Lorentz–Minkowski space R1n+1$\mathbb {R}^{n+1}_{1}$, and through which the existence of spacelike admissible graphic hypersurfaces, with prescribed 2‐nd Weingarten curvature and Dirichlet boundary data, defined over a strictly convex domain in the hyperbolic plane Hn(1)⊂R1n+1$\mathcal {H}^{n}(1)\subset \mathbb {R}^{n+1}_{1}$ of center at origin and radius 1, can be proven. [ABSTRACT FROM AUTHOR]