Upper and lower bounds for the first Dirichlet eigenvalue of a triangle
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- by Pedro Freitas PDF
- Proc. Amer. Math. Soc. 134 (2006), 2083-2089 Request permission
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
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2083-2089
- MSC (2000): Primary 35P15; Secondary 35J05
- DOI: https://doi.org/10.1090/S0002-9939-06-08339-0
- MathSciNet review: 2215778