Gradient and Hessian Estimates for Dirichlet and Neumann Eigenfunctions
Differential Geometry
2018-07-10 v4
Abstract
We establish integral formulas and sharp two-sided bounds for the Ricci curvature, mean curvature and second fundamental form on a Riemannian manifold with boundary. As applications, sharp gradient and Hessian estimates are derived for the Dirichlet and Neumann eigenfunctions.
Cite
@article{arxiv.1803.04233,
title = {Gradient and Hessian Estimates for Dirichlet and Neumann Eigenfunctions},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:1803.04233},
year = {2018}
}
Comments
15 pages