Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture

In this paper we obtain lower estimates for the first non-trivial eigenvalue of the p-Laplace Neumann operator in bounded simply connected planar domains Ω⊂R2 . This study is based on a quasiconformal version of the universal two-weight Poincaré-Sobolev inequalities obtained in our previous paper...

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Bibliographic Details
Published in:Bollettino dell'Unione Matematica Italiana Vol. 11, № 2. P. 245-264
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:000658496
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