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.

Minimal disc-type surfaces embedded in a perturbed cylinder / Fall, M. M.; Mercuri, C.. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - 22:11-12(2009), pp. 1115-1124.

Minimal disc-type surfaces embedded in a perturbed cylinder

Mercuri C.
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.
2009
22
11-12
1115
1124
Minimal disc-type surfaces embedded in a perturbed cylinder / Fall, M. M.; Mercuri, C.. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - 22:11-12(2009), pp. 1115-1124.
Fall, M. M.; Mercuri, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1295816
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