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J. Korean Math. Soc. 2005; 42(5): 1057-1069

Printed September 1, 2005

Copyright © The Korean Mathematical Society.

Non-compact Douglas-Plateau problem

Sun Sook Jin

Kyung Hee University

Abstract

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In this article, we prove the existence of two embedded minimal annuli in a slab which are all bounded by a Jordan convex curve and a straight line.

Keywords: Douglas-Plateau problem, minimal surfaces, Riemann's minimal examples, Courant-Lebesgue lemma.

MSC numbers: Primary 53A10

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