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Minimal annuli in R3 bounded by non-compact complete convex curves in parallel planes

Part of: Partial differential equations

Published online by Cambridge University Press:  09 April 2009

Yi Fang
Yi Fang
Affiliation:
Centre for Mathematics and its Applications School of Mathematical SciencesThe Australian National UniversityCanberra ACT 0200Australia e-mail: yi@maths.anu.edu.au
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Abstract

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In this paper we consider the Plateau problem for surfaces of annular type bounded by a pair of convex, non-compact curves in parallel planes. We prove that for certain symmetric boundaries there are solutions to the non-compact Plateau problems (Theorem B). Except for boundaries consisting of a pair of parallel straight lines, these are the first known examples.

MSC classification

Secondary: 35A10: Cauchy-Kovalevskaya theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 60 , Issue 3 , June 1996 , pp. 369 - 388
Copyright
Copyright © Australian Mathematical Society 1996

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