On Rellich’s Inequalities in Euclidean Spaces

dc.contributor.author	Avkhadiev F.
dc.date.accessioned	2019-01-22T20:41:41Z
dc.date.available	2019-01-22T20:41:41Z
dc.date.issued	2018
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/148321
dc.description.abstract	© 2018, Allerton Press, Inc. On domains of Euclidean spaces we consider inequalities for test functions and their Laplacians. We describe a family of domains having vanishing Rellich constants. For the Euclidean space of dimension 4 we present a new version of the Rellich inequality. In addition, we prove new one-dimensional Rellich-type integral inequalities for linear combinations of test functions and their derivatives of orders one and two.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	Laplace operator
dc.subject	real spherical harmonics
dc.subject	the Hardy inequality
dc.subject	the Rellich inequality
dc.subject	uniformly perfect set
dc.title	On Rellich’s Inequalities in Euclidean Spaces
dc.type	Article
dc.relation.ispartofseries-issue	8
dc.relation.ispartofseries-volume	62
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	71
dc.source.id	SCOPUS1066369X-2018-62-8-SID85050462843

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.