A half-space Bernstein theorem for anisotropic minimal graphs
arXiv:2312.07519
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.
9 pages