Bonnesen-style inequality for the first eigenvalue on a complete surface of constant curvature

Abstract By Cheeger’s isoperimetric constants, some lower bounds and upper bounds of λ 1 $\lambda_{1}$ , the first eigenvalue on a complete surface of constant curvature, are given. Some Bonnesen-style inequalities and reverse Bonnesen-style inequalities for the first eigenvalue are obtained. Those...

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Bibliographic Details
Main Authors: Niufa Fang, Jiazu Zhou
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1462-4