학술논문

A half-space Bernstein theorem for anisotropic minimal graphs
Document Type
Working Paper
Source
Subject
Mathematics - Analysis of PDEs
Mathematics - Differential Geometry
Language
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.
Comment: 9 pages