A Bernstein problem for special Lagrangian equations
Analysis of PDEs
2015-06-26 v1 Differential Geometry
Abstract
We derive a Bernstein type result for the special Lagrangian equation, namely, any global convex solution must be quadratic. In terms of minimal surfaces, the result says that any global minimal Lagrangian graph with convex potential must be a hyper-plane.
Cite
@article{arxiv.math/0201186,
title = {A Bernstein problem for special Lagrangian equations},
author = {Yu Yuan},
journal= {arXiv preprint arXiv:math/0201186},
year = {2015}
}
Comments
9 pages, submitted on December 10, 2001