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arXiv · 2210.11500

Generalized Bernstein Theorem for Stable Minimal Plateau Surfaces

Gaoming Wang
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Abstract

In this paper, we consider a Generalized Bernstein Theorem for a type of generalized minimal surfaces, namely minimal Plateau surfaces. We show that if an orientable minimal Plateau surface is stable and has quadratic area growth in $\mathbb{R}^3 $, then it is flat.

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Gaoming Wang. 2022-10-20. Generalized Bernstein Theorem for Stable Minimal Plateau Surfaces. https://arxiv.org/abs/2210.11500

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