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...
Published in: | St. Petersburg Mathematical Journal Vol. 31, № 2. P. 325-335 |
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Main Author: | |
Other Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795080 Перейти в каталог НБ ТГУ |