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November/December 2009 Minimal disc-type surfaces embedded in a perturbed cylinder
Mouhamed Moustapha Fall, Carlo Mercuri
Differential Integral Equations 22(11/12): 1115-1124 (November/December 2009).

Abstract

In the present note, we deal with small perturbations of an infinite cylinder in three-dimensional Euclidian space. We find minimal disc-type surfaces embedded in the cylinder and intersecting its boundary perpendicularly. The existence and localization of those minimal discs is a consequence of a non-degeneracy condition for the critical points of a functional related to the oscillations of the cylinder from the flat configuration.

Citation

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Mouhamed Moustapha Fall. Carlo Mercuri. "Minimal disc-type surfaces embedded in a perturbed cylinder." Differential Integral Equations 22 (11/12) 1115 - 1124, November/December 2009.

Information

Published: November/December 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.53004
MathSciNet: MR2555639

Subjects:
Primary: 53A10
Secondary: 35B20

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 11/12 • November/December 2009
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