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arXiv · 2312.07519

A half-space Bernstein theorem for anisotropic minimal graphs

Wenkui Du·Connor Mooney·Yang Yang·Jingze Zhu
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Abstract

We prove that an anisotropic minimal graph over a half-space with flat boundary must itself be flat. This generalizes a result of Edelen-Wang to the anisotropic case. The proof uses only the maximum principle and ideas from fully nonlinear PDE theory in lieu of a monotonicity formula.

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Wenkui Du, Connor Mooney, Yang Yang, Jingze Zhu. 2023-12-12. A half-space Bernstein theorem for anisotropic minimal graphs. https://arxiv.org/abs/2312.07519

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