Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture; Bollettino dell'Unione Matematica Italiana; Vol. 11, iss. 2

Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture; Bollettino dell'Unione Matematica Italiana; Vol. 11, iss. 2

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Parent link:	Bollettino dell'Unione Matematica Italiana Vol. 11, iss. 2.— 2018.— [P. 245-264]
Hlavní autor:	Gol’dshtein V. M. Vladimir
Korporativní autor:	Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Další autoři:	Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Alexander Dadaroolovich
Shrnutí:	Title screen 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⊂R2Ω⊂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 αα-regular domains. The main technical tool is the geometric theory of composition operators in relation with the Brennan's conjecture for (quasi)conformal mappings. Режим доступа: по договору с организацией-держателем ресурса
Jazyk:	angličtina
Vydáno:	2018
Témata:	электронный ресурс труды учёных ТПУ elliptic equations Sobolev spaces quasiconformal mappings эллиптические уравнения пространство Соболева квазиконформные отображения
On-line přístup:	https://doi.org/10.1007/s40574-017-0127-z
Médium:	Elektronický zdroj Kapitola
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=658513

Internet

https://doi.org/10.1007/s40574-017-0127-z