Minimal surfaces in a wedge IV. Hölder estimates of the Gauss map and a Bernstein theorem

被引：0
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作者：
Stefan Hildebrandt
Friedrich Sauvigny
机构：
[1] Mathematisches Institut der Universität Bonn,
[2] Beringstrasse 1,undefined
[3] D-53115 Bonn,undefined
[4] Germany ,undefined
[5] Institut für Mathematik der Brandenburgischen Technischen Universität,undefined
[6] Postfach 10 13 44,undefined
[7] D-03013 Cottbus,undefined
[8] Germany ,undefined
来源：
Calculus of Variations and Partial Differential Equations | 1999年 / 8卷
关键词：
Mathematics Subject Classification (1991):53 A 10, 35 J 60, 49 F 10.;
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摘要：
Continuing our papers [4]–[6] we study the global behaviour of minimal surfaces in a wedge which meet the faces of the wedge perpendicularly and are transversal to the edge. We derive a Hölder estimate for the Gauss maps of such surfaces which immediately implies a Bernstein–type result: Each complete minimal sector in the wedge of the type described before is necessarily a plane sector. The method uses in an essential way ideas developed in [2], [3], [5], and [9].
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页码：71 / 90
页数：19
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