Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations
Analysis of PDEs
2010-03-11 v1
Abstract
We give a lower bound for the Gaussian curvature of convex level sets of minimal graphs and the solutions to semilinear elliptic equations with the norm of boundary gradient and the Gaussian curvature of the boundary.
Keywords
Cite
@article{arxiv.1003.2057,
title = {Gaussian Curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations},
author = {Pei-He Wang and Wei Zhang},
journal= {arXiv preprint arXiv:1003.2057},
year = {2010}
}
Comments
35pages