Bernstein-type techniques for 2D free boundary graphs
偏微分方程分析
2007-05-23 v1
摘要
We prove an a-priori bound for the Lipschitz constant of a smooth one-phase free boundary graph F(u) in two dimensions. The function u satisfies a fully nonlinear elliptic equation in its positive side, and the gradient of u is equal to 1 on F(u).
引用
@article{arxiv.math/0612454,
title = {Bernstein-type techniques for 2D free boundary graphs},
author = {Daniela De Silva},
journal= {arXiv preprint arXiv:math/0612454},
year = {2007}
}
备注
16 pages