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Upper and lower bounds for the first Dirichlet eigenvalue of a triangle
Author(s):
Pedro
Freitas
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2083-2089.
MSC (2000):
Primary 35P15;
Secondary 35J05
Posted:
January 6, 2006
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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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- [AF]
- P. Antunes and P. Freitas, New bounds for the principal Dirichlet eigenvalue of planar regions, preprint.
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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:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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