Lower bounds for the first eigenvalue of the \(p\)-Laplacian on compact manifolds with positive Ricci curvature
type: Item
instance of: scholarly article
title: Lower bounds for the first eigenvalue of the \(p\)-Laplacian on compact manifolds with positive Ricci curvature
zbMATH Open document ID: 1128.58017
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-05-30T00:00:00Z
review text: The first eigenvalue of the \(p\)-Laplace operator associated with a Riemannian metric on a compact manifold is studied. The author investigates its lower bound in terms of some geometric quantities such as the diameter and the inscribed radius when the Ricci curvature is positive or non-negative. The other eigenvalue problem associated with the \(p\)-Laplacian that is considered is the Dirichlet problem for compact manifolds with boundary with some proper geometric hypotheses.
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 58J32
zbMATH DE Number: 5159587
zbMATH Keywords: first eigenvalue
zbMATH Keywords: \(p\)-Laplace operator
zbMATH Keywords: Ricci curvature
zbMATH Keywords: diameter
author: Hui-Chun Zhang
reviewed by: Stana Nikčević
MaRDI profile type: Publication
full work available at URL: j.na.2006.06.031
OpenAlex ID: W2274513019
Wikidata QID: Q124829209
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DOI: 10.1016/J.NA.2006.06.031
description: scientific article; zbMATH DE number 5159587