GRADIENT AND HESSIAN ESTIMATES FOR DIRICHLET AND NEUMANN EIGENFUNCTIONS

Feng‐Yu Wang

Type: Article

Publication Date: 2020-02-10

Citations: 0

DOI: https://doi.org/10.1093/qmathj/haz050

Abstract

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.

Locations

arXiv (Cornell University) - View - PDF
Cronfa (Swansea University) - View - PDF
The Quarterly Journal of Mathematics - View

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