On the nonexistence of exceptional branch points for weak relative minima in Plateau’s problem |
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Authors: | Anthony J Tromba |
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Institution: | 1.Department of Mathematics,University of California at Santa Cruz,Santa Cruz,USA |
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Abstract: | We define the notion of an exceptional branch point for a minimal surface in
\mathbb R3{{\mathbb R}^3} and show that it is closely related to the notion of false branch point. We prove that even in the presence of an exceptional
branch point we may, under certain conditions, reduce Dirichlet’s energy and therefore also reduce area. |
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Keywords: | |
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