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Lower order eigenvalues of Dirichlet Laplacian

โœ Scribed by Hejun Sun; Qing-Ming Cheng; Hongcang Yang

Publisher
Springer
Year
2007
Tongue
English
Weight
164 KB
Volume
125
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES

Lower bounds for the eigenvalues of Lapl
Lower bounds for the eigenvalues of Laplacian matrices
โœ Abraham Berman; Xiao-Dong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 70 KB

We give a lower bound for the second smallest eigenvalue of Laplacian matrices in terms of the isoperimetric number of weighted graphs. This is used to obtain an upper bound for the real parts of the nonmaximal eigenvalues of irreducible nonnegative matrices.

Examples of embedded eigenvalues for the
Examples of embedded eigenvalues for the Dirichlet Laplacian in perturbed waveguides
โœ K. J. Witsch ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 153 KB

## Abstract It is shown that there exist domains ฮฉ โŠ‚ โ„^__N__^, which outside of some ball coincide with the strip โ„^__N__ โˆ’ 1^ ร— (0, ฯ€) and for which the Dirichlet Laplacian โ€“ ฮ” has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, โˆž).