| Title | Minimal disc-type surfaces embedded in a perturbed cylinder |
| Publication Type | Journal Article |
| Year of Publication | 2009 |
| Authors | Fall, MMoustapha, Mercuri, C |
| Journal | Differential and Integral Equations |
| Volume | 22 |
| Pagination | 1115–1124 |
| 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. |
| URL | https://projecteuclid.org/euclid.die/1356019407 |
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