Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian; Journal of Mathematical Analysis and Applications; Vol. 463, iss. 1

Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian; Journal of Mathematical Analysis and Applications; Vol. 463, iss. 1

Bibliografiske detaljer
Parent link:	Journal of Mathematical Analysis and Applications Vol. 463, iss. 1.— 2018.— [P. 19-39]
Hovedforfatter:	Go'ldshtein V. M. Vladimir
Institution som forfatter:	Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Andre forfattere:	Pchelintsev V. A. Valery Anatoljevich, Ukhlov A. D. Alexander Dadaroolovich
Summary:	Title screen In this paper we study integral estimates of derivatives of conformal mappings φ:D→Ω of the unit disc D⊂C onto bounded domains Ω that satisfy the Ahlfors condition. These integral estimates lead to estimates of constants in Sobolev-Poincaré inequalities, and by the Rayleigh quotient we obtain spectral estimates of the Neumann-Laplace operator in non-Lipschitz domains (quasidiscs) in terms of the (quasi)conformal geometry of the domains. Specifically, the lower estimates of the first non-trivial eigenvalues of the Neumann-Laplace operator in some fractal type domains (snowflakes) were obtained. Режим доступа: по договору с организацией-держателем ресурса
Sprog:	engelsk
Udgivet:	2018
Fag:	электронный ресурс Sobolev spaces conformal mappings quasiconformal mappings elliptic equations пространство Соболева конформные отображения квазиконформные отображения эллиптические уравнения труды учёных ТПУ
Online adgang:	https://doi.org/10.1016/j.jmaa.2018.02.063
Format:	MixedMaterials Electronisk Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=658512

Internet

https://doi.org/10.1016/j.jmaa.2018.02.063