2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72121We construct a sequence of compact embedded minimal disks in a ball in Euclidean 3-space, whose boundaries lie in the boundary of the ball, such that the curvature blows up only at a prescribed discrete (and hence, finite) set of points on the x_3-axis. This extends a result of Colding and Minicozzi, who constructed a sequence for which the curvature blows up only at the center of the ball, and is a partial affirmative answer to the larger question of the existence of a sequence for which the curvature blows up precisely on a prescribed closed set on the x_3-axis.10 pages, 0 figures, preprintDifferential GeometryPrimary 53C42; Secondary 53A10, 57R40text