Communications in Analysis and Geometry
Volume 19 (2011)
Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line
Pages: 487 – 502
For any prescribed closed subset of a line in Euclidean3-space, we construct a sequence of minimal disks that areproperly embedded in an open solid cylinder around theline and that have curvatures blowing up precisely atthe points of the closed set.