A Bernstein problem for special Lagrangian equations
偏微分方程分析
2015-06-26 v1 微分几何
摘要
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.
引用
@article{arxiv.math/0201186,
title = {A Bernstein problem for special Lagrangian equations},
author = {Yu Yuan},
journal= {arXiv preprint arXiv:math/0201186},
year = {2015}
}
备注
9 pages, submitted on December 10, 2001