Space quasiconformal composition operators with applications to Neumann eigenvalues

Space quasiconformal composition operators with applications to Neumann eigenvalues

Bibliographic Details
Parent link:Analysis and Mathematical Physics
Vol. 10, iss. 4.— 2020.— [78, 20 p.]
Corporate Author: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Other Authors: Goldshtein V. M. Vladimir Mikhaylovich, Hurri-Syrjanen R. Ritva, Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Alexander Dadar-oolovich
Summary:Title screen
In this article we obtain estimates of Neumann eigenvalues of p-Laplace operators in a large class of space domains satisfying quasihyperbolic boundary conditions. The suggested method is based on composition operators generated by quasiconformal mappings and their applications to Sobolev–Poincarй-inequalities. By using a sharp version of the reverse Hцlder inequality we refine our estimates for quasi-balls, that is, images of balls under quasiconformal mappings of the whole space.
Режим доступа: по договору с организацией-держателем ресурса
Published: 2020
Subjects:
электронный ресурс
труды учёных ТПУ
elliptic equations
Sobolev spaces
эллиптические уравнения
пространство Соболева
квазиконформные отображения
quasiconformal mappings
Online Access:https://doi.org/10.1007/s13324-020-00420-0
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663920

Internet

https://doi.org/10.1007/s13324-020-00420-0

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