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Eigenvalues of the negative Laplacian for simply connected bounded domains

✍ Scribed by E. M. E. Zayed

Book ID
110556217
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1997
Tongue
English
Weight
444 KB
Volume
13
Category
Article
ISSN
1439-7617

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Lower bounds for the eigenvalues of Lapl
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✍ Abraham Berman; Xiao-Dong Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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.