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

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DOI Доступ к ресурсу на сайте издателя			10.1007/s40574-017-0127-z

Title: Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture
Creator: Goldshtein, Vladimir
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Pchelintsev, Valeriy A.
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Ukhlov, Alexander
Date: 2018
DOI: 10.1007/s40574-017-0127-z
Description: 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 papers for conformal weights and its non weighted version for so-called K-quasiconformal α -regular domains. The main technical tool is the geometric theory of composition operators in relation with the Brennan’s conjecture for (quasi)conformal mappings.

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collection(s): Научное управление
Identifier: смотреть в электронном каталоге НБ ТГУ
Type: статьи в журналах
Source: Bollettino dell'Unione Matematica Italiana. 2018. Vol. 11, № 2. P. 245-264
Language: eng

Created: 07-06-2019

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