Generalized Bernstein Theorem for Stable Minimal Plateau Surfaces

Abstract

In this paper, we consider a Generalized Bernstein Theo- rem for a type of generalized minimal surfaces, namely minimal Plateau surfaces. We show that if a complete orientable minimal Plateau surface is stable and has quadratic area growth in $R^3$, then it is flat

Type
Publication
Submitted. arXiv:2210.11500, 2022
Gaoming Wang
Visiting Assistant Professor

My research interests include Geometric Analysis and Partial Differential Equations.