A generalization of Rado's Theorem for almost graphical boundaries |
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Authors: | Brian?Dean Email author" target="_blank">Giuseppe?TinagliaEmail author |
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Institution: | (1) Department of Mathematics, Hylan Building, University of Rochester, Rochester, NY 14627, USA;(2) Department of Mathematics, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218, USA |
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Abstract: | 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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Keywords: | |
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