A bound for minimal graphs with a normal at infinity |
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Authors: | Ernst Christoph Kuwert |
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Institution: | (1) Mathematisches Institut, Universität Bonn, Wegelerstrasse 10, D-53115 Bonn, Germany |
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Abstract: | It is shown that a minimal graph with a normal at infinity is in a-priori bounded vertical distance from its approximating halfcatenoid. This is used to show that the exterior contact angle problem is wellposed under natural geometric conditions on the domain, while the exterior Dirichlet problem can be solvable only for data which satisfy an oscillation bound.This paper was written under the support of the Deutsche Forschungsgemeinschaft while the author was visiting the department of mathematics at Stanford University.This article was processed by the author using the LaTEX style filepljour1 from Springer-Verlag. |
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Keywords: | 49F10 35J25 35B50 |
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