First eigenvalue of the p-Laplacian under integral curvature condition. (November 2017)

• Record Type: Journal Article
• Authors: Seto, Shoo; Wei, Guofang
• Is Part Of: Nonlinear analysis. Volume 163(2017)
• Page Start: 60
• Page End: 70
• Publication Date: 2017-11
• Subjects: p-Laplacian -- First eigenvalue -- Integral Ricci curvature; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.07.007
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We give various estimates of the first eigenvalue of the p -Laplace operator on closed Riemannian manifold with integral curvature conditions.