UPPER BOUNDS FOR THE FIRST EIGENVALUE OF THE LAPLACE OPERATOR ON COMPLETE RIEMANNIAN MANIFOLDS

dc.citation.epage	1265	en_US
dc.citation.issue	4	en_US
dc.citation.spage	1257	en_US
dc.citation.volume	18	en_US
dc.citation.woscount	0
dc.contributor.author	Hsu, Yi-jung	en_US
dc.contributor.author	Lai, Chien-lun	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2014-12-08T15:36:59Z
dc.date.available	2014-12-08T15:36:59Z
dc.date.issued	2014-08-01	en_US
dc.description.abstract	Let M be a complete Riemannian manifold with infinite volume and Omega be a compact subdomain in M. In this paper we obtain two upper bound estimates for the first eigenvalue of the Laplacian on the punctured manifold MOmega subject to volume growth and lower bound of Ricci curvature, respectively. The proof hinges on asymptotic behavior of solutions of second order differential equations, the max-min principle and Bishop volume comparison theorem.	en_US
dc.identifier.issn	1027-5487	en_US
dc.identifier.journal	TAIWANESE JOURNAL OF MATHEMATICS	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/25394
dc.identifier.wosnumber	WOS:000342861700017
dc.language.iso	en_US	en_US
dc.title	UPPER BOUNDS FOR THE FIRST EIGENVALUE OF THE LAPLACE OPERATOR ON COMPLETE RIEMANNIAN MANIFOLDS	en_US
dc.type	Article	en_US

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