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arXiv · 2209.15551

The anisotropic Bernstein problem

Connor Mooney·Yang Yang
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Abstract

We construct nonlinear entire anisotropic minimal graphs over $\mathbb{R}^4$, completing the solution to the anisotropic Bernstein problem. The examples we construct have a variety of growth rates, and our approach both generalizes to higher dimensions and recovers and elucidates known examples of entire minimal graphs over $\mathbb{R}^{n},\, n \geq 8$.

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Connor Mooney, Yang Yang. 2022-09-30. The anisotropic Bernstein problem. https://arxiv.org/abs/2209.15551

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