The anisotropic Bernstein problem
Analysis of PDEs
2023-09-27 v2
Abstract
We construct nonlinear entire anisotropic minimal graphs over , 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 .
Cite
@article{arxiv.2209.15551,
title = {The anisotropic Bernstein problem},
author = {Connor Mooney and Yang Yang},
journal= {arXiv preprint arXiv:2209.15551},
year = {2023}
}
Comments
Final version, to appear in Inventiones Mathematicae