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Lower bounds for the first Dirichlet eigenvalue of the Laplacian for domains in hyperbolic space

Published online by Cambridge University Press:  20 November 2015

SERGEI ARTAMOSHIN
SERGEI ARTAMOSHIN*
Affiliation:
Central Connecticut State University, 1615 Stanley St., New Britain, CT, 06050, U.S.A. e-mail: sartamoshin@gmail.com
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Abstract

We consider domains in a simply connected space of constant negative curvature and develop a new technique that improves existing classical lower bound for Dirichlet eigenvalues obtained by H. P. McKean as well as the lower bounds recently obtained by A. Savo.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 160 , Issue 2 , March 2016 , pp. 191 - 208
Copyright
Copyright © Cambridge Philosophical Society 2015 

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References

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