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Minimal disc-type surfaces embedded in a perturbed cylinder

TitleMinimal disc-type surfaces embedded in a perturbed cylinder
Publication TypeJournal Article
Year of Publication2009
AuthorsFall, MMoustapha, Mercuri, C
JournalDifferential and Integral Equations
Volume22
Pagination1115–1124
Abstract

In the present note we deal with small perturbations of an infinite cylinder in the 3D 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.

URLhttps://projecteuclid.org/euclid.die/1356019407

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