Minimal disc-type surfaces embedded in a perturbed cylinder. (Q636928)
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scientific article; zbMATH DE number 5944774
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal disc-type surfaces embedded in a perturbed cylinder. |
scientific article; zbMATH DE number 5944774 |
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Minimal disc-type surfaces embedded in a perturbed cylinder. (English)
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1 September 2011
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The paper deals with small preturbations of an infinite cylinder in three-dimensional Euclidian space. Minimal disc-type surfaces embedded in the cylinder and intersecting its boundary perpendicularly are found. 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.
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cylinder
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minimal disc
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