2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171212We investigate the problem of finding complete strictly convex hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a general class of curvature functions.Differential Geometry53C21 (Primary), 35J65, 58J32 (Secondary)text