Bounds for the first eigenvalue of the elastically supported membrane on convex domains

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Author
Sperb, René Peter
Date
2003-09
Type
    Journal Article
Rights / license
In Copyright - Non-Commercial Use Permitted
Abstract
Barta’s principle and gradient bounds for the torsion function are the main tools for deriving lower bounds for the first eigenvalue. The optimal domains are an infinite strip, a disk or an annulus in different situations.
Permanent link
https://doi.org/10.3929/ethz-b-000053592
Publication status
published
External links
Journal / series
Zeitschrift für angewandte Mathematik und Physik
Volume
54(5)
Pages / Article No.
879 - 903
Publisher
Birkhäuser
Subject
Eigenvalues of the Laplacian; Robin boundary conditions
Organisational unit
03435 - Schwab, Christoph / Schwab, Christoph  
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher
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Citations
Cited 8 times in Scopus
ETH Bibliography
yes
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