On Variations of the Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings

On Variations of the Neumann Eigenvalues of p-Laplacian Generated by Measure Preserving Quasiconformal Mappings

Bibliographic Details
Parent link:Journal of Mathematical Sciences
Vol. 255, iss. 4.— 2021.— [P. 503-512]
Main Author: Pchelintsev V. A. Valery Anatoljevich
Corporate Author: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Summary:Title screen
We study variations of the first nontrivial eigenvalue of the two-dimensional p-Laplace operator, p>2, generated by measure preserving quasiconformal mappings. The study is based on the geometric theory of composition operators in Sobolev spaces and sharp embedding theorems. Using a sharp version of the reverse Holder inequality, we obtain a lower estimate for the first nontrivial eigenvalue in the case of Ahlfors type domains.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2021
Subjects:
труды учёных ТПУ
электронный ресурс
собственные значения
квазиконформные отображения
пространства Соболева
теоремы вложения
Online Access:https://doi.org/10.1007/s10958-021-05388-1
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666204

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