GRADIENT AND HESSIAN ESTIMATES FOR DIRICHLET AND NEUMANN EIGENFUNCTIONS

DOI10.1093/QMATHJ/HAZ050zbMATH Open1446.53031arXiv1803.04233OpenAlexW2990889834WikidataQ125976507 ScholiaQ125976507MaRDI QIDQ5108055

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Publication date: 29 April 2020

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1803.04233

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