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2006 New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
Pedro Antunes, Pedro Freitas
Experiment. Math. 15(3): 333-342 (2006).

Abstract

We present a numerical study for the first Dirichlet eigenvalue of certain classes of planar regions. Based on this, we propose new types of bounds and establish several conjectures regarding the dependence of this eigenvalue on the perimeter and the area.

Citation

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Pedro Antunes. Pedro Freitas. "New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions." Experiment. Math. 15 (3) 333 - 342, 2006.

Information

Published: 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1180.35388
MathSciNet: MR2264470

Subjects:
Primary: 35P15
Secondary: 58G25

Keywords: Dirichlet eigenvalues , Pólya--Szegő conjectures

Rights: Copyright © 2006 A K Peters, Ltd.

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Vol.15 • No. 3 • 2006
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