Curvature estimates for semi-convex solutions of asymptotic Plateau problem in ${\mathbb{H}}^{n+1}$

Han Hong, Ruijia Zhang

In this paper, we consider the asymptotic ${\sigma }_k$ Plateau problem in hyperbolic space. We establish $C^2$ estimates for semi-convex complete hypersurfaces satisfying constant ${\sigma }_k$ c…