Curvature Estimates for Stable Minimal Surfaces with a Common Free Boundary

Triple junction surfaces


The minimal surfaces meeting in triples with equal angles along a common boundary naturally arise from soap films and other physical phenomenon. They are also the natural extension of the usual minimal surface. In this paper, we consider the multiple junction surface and show the Bernstein’s Theorem still holds for stable multiple junction surface in some special case. The key part is to derive the $L^p$ estimates of the curvature for multiple junction surface.

Calculus of Variations and Partial Differential Equations
Gaoming Wang
Gaoming Wang
Visiting Assistant Professor

My research interests include Geometric Analysis and Partial Differential Equations.