Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line

David Hoffman, Brian White
2011 Communications in analysis and geometry  
For any prescribed closed subset of a line in Euclidean 3-space, we construct a sequence of minimal disks that are properly embedded in an open solid cylinder around the line and that have curvatures blowing up precisely at the points of the closed set.
doi:10.4310/cag.2011.v19.n3.a2 fatcat:t43ozlzfbfcs7nf3cq7co5ogzi