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MINIMAL GRAPHS WITH DISCONTINUOUS BOUNDARY VALUES
Published online by Cambridge University Press: 01 February 2009
Abstract
We construct global solutions of the minimal surface equation over certain smooth annular domains and over the domain exterior to certain smooth simple closed curves. Each resulting minimal graph has an isolated jump discontinuity on the inner boundary component which, at least in some cases, is shown to have nonvanishing curvature.
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- Research Article
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- Copyright © Australian Mathematical Society 2009
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