Upper and lower bounds for the first Dirichlet eigenvalue of a triangle

Author:
Pedro Freitas

Journal:
Proc. Amer. Math. Soc. **134** (2006), 2083-2089

MSC (2000):
Primary 35P15; Secondary 35J05

Published electronically:
January 6, 2006

MathSciNet review:
2215778

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove some new upper and lower bounds for the first Dirichlet eigenvalue of a triangle in terms of the lengths of its sides.

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Additional Information

**Pedro Freitas**

Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Address at time of publication:
Faculdade de Motricidade Humana and Mathematical Physics Group of the University of Lisbon, Complexo Interdisciplinar, Av. Prof. Gama Pinto 2, P-1649-003 Lisboa, Portugal

Email:
pfreitas@math.ist.utl.pt, freitas@cii.fc.ul.pt

DOI:
https://doi.org/10.1090/S0002-9939-06-08339-0

Received by editor(s):
September 9, 2004

Received by editor(s) in revised form:
February 16, 2005

Published electronically:
January 6, 2006

Communicated by:
Carmen C. Chicone

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.