A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space-Reference-Cited by-同舟云学术

A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space

Published:2007-11-01 Issue:2 Volume:140 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Benguria Rafael D.¹,Linde Helmut²

Affiliation:

1. Departamento de Física, Pontificia Universidad Católica de Chile

2. Uhlandstrasse 9, 69231 Malschenberg, Germany

Publisher

Duke University Press

Subject

General Mathematics

Reference31 articles.

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2. M. S. Ashbaugh and R. D. Benguria, Log-concavity of the ground state of Schrödinger operators: A new proof of the Baumgartner-Grosse-Martin inequality, Phys. Lett. A 131 (1988), 273--276.

3. —, ``Optimal lower bounds for eigenvalue gaps for Schrödinger operators with symmetric single-well potentials and related results'' in Maximum Principles and Eigenvalue Problems in Partial Differential Equations (Knoxville, Tenn., 1987), Pitman Res. Notes Math. Ser. 175, Longman Sci. Tech., Harlow, England, 1988, 134--145.

4. —, Proof of the Payne-Pólya-Weinberger conjecture, Bull. Amer. Math. Soc. (N.S.) 25 (1991), 19--29.

5. —, A second proof of the Payne-Pólya-Weinberger conjecture, Comm. Math. Phys. 147 (1992), 181--190.

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