Lower bounds for the first Dirichlet eigenvalue of the Laplacian for domains in hyperbolic space
- 20 November 2015
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 160 (2) , 191-208
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.Keywords
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