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math.DG2005
A generalization of Rado's Theorem for almost graphical boundaries
Brian Dean, Giuseppe Tinaglia
In this paper, we prove a generalization of Rado's Theorem, a fundamental result of minimal surface theory, which says that minimal surfaces over a convex domain with graphical bou…
math.DG2004
Embedded minimal disks with prescribed curvature blowup
Brian Dean
We 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…