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Generalized Bernstein Theorem for stable minimal plateau surfaces
被引：0
作者：
Gaoming Wang
[1
]
机构：
[1] Tsinghua University,Yau Mathematical Sciences Center
[2] Cornell University,Department of Mathematics
关键词：
Minimal surfaces;
Generalized Bernstein Theorem;
Stability;
D O I：
10.1007/s10455-025-10002-7
中图分类号：
学科分类号：
摘要：
In this paper, we consider a Generalized Bernstein Theorem 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 R3\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\mathbb {R}^3 $$\end{document}, then it must be flat.
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