论文标题
各向异性伯恩斯坦问题
The anisotropic Bernstein problem
论文作者
论文摘要
我们在$ \ mathbb {r}^4 $上构建非线性整个各向异性最小图，完成了各向异性伯恩斯坦问题的解决方案。我们构建的示例具有多种增长率，我们的方法都将其推广到更高的维度，并恢复并阐明了$ \ mathbb {r}^{n}，\，\，n \ geq 8 $的整个最小图的已知示例。
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 $\mathbb{R}^{n},\, n \geq 8$.
