A generalization of Rado's Theorem for almost graphical boundaries

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74330In this paper, we prove a generalization of Rado's Theorem, a fundamental result of minimal surface theory, which says that minimal surfaces over a convex domain with graphical boundaries must be disks which are themselves graphical. We will show that, for a minimal surface of any genus, whose boundary is "almost graphical" in some sense, that the surface must be graphical once we move sufficiently far from the boundary.12 pages, 6 figures, submitted to Math. ZeitDifferential Geometry53A10A generalization of Rado's Theorem for almost graphical boundariestext