On conformal spectral gap estimates of the Dirichlet-Laplacian

We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains . With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of eigenvalues in the framework of the Payne-Pólya-Weinberger inequalities. These estimates are equivale...

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Bibliographic Details
Published in:St. Petersburg Mathematical Journal Vol. 31, № 2. P. 325-335
Main Author: Goldshtein, Vladimir
Other Authors: Pchelintsev, Valeriy A., Ukhlov, Alexander
Format: Article
Language:English
Subjects:
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795080
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