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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
Posted:
January 6, 2006
MathSciNet review:
2215778
Full-text PDF Free Access
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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.
References
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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:
http://dx.doi.org/10.1090/S0002-9939-06-08339-0
PII:
S 0002-9939(06)08339-0
Received by editor(s):
September 9, 2004
Received by editor(s) in revised form:
February 16, 2005
Posted:
January 6, 2006
Communicated by:
Carmen C. Chicone
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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