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.

%B Differential and Integral Equations %I Khayyam Publishing, Inc. %V 22 %P 1115–1124 %G eng %U https://projecteuclid.org/euclid.die/1356019407