Rado定理在几乎图边界上的推广
A generalization of Rado's Theorem for almost graphical boundaries
摘要：
本文证明了Rado定理的一个推广，Rado定理是极小曲面理论的一个基本结果，它指出具有图形边界的凸区域上的极小曲面必须是本身是图形的圆盘。我们将证明，对于任何亏格的极小曲面，其边界在某种意义上是“几乎图形的”，一旦我们远离边界，曲面一定是图形的。
英文摘要：
In 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.
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