A half-space Bernstein theorem for anisotropic minimal graphs
Analysis of PDEs
2023-12-13 v1 Differential Geometry
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.
Cite
@article{arxiv.2312.07519,
title = {A half-space Bernstein theorem for anisotropic minimal graphs},
author = {Wenkui Du and Connor Mooney and Yang Yang and Jingze Zhu},
journal= {arXiv preprint arXiv:2312.07519},
year = {2023}
}
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9 pages