On Extremal Domains for Integral Inequalities in the Euclidean Space

dc.contributor.author	Avkhadiev F.
dc.date.accessioned	2020-01-15T21:45:44Z
dc.date.available	2020-01-15T21:45:44Z
dc.date.issued	2019
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/155713
dc.description.abstract	© 2019, Allerton Press, Inc. On domains of the Euclidean space we consider Hardy and Rellich type inequalities with weight functions depending on the distance to the boundary of the domain. We show that extremal domains are not single for some known inequalities with sharp estimates of constants. We describe a family of extremal domains for Hardy type inequalities of a general form. On plane domains we study a new Rellich type inequality having a similar property.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	Hardy inequality
dc.subject	Rellich inequality
dc.title	On Extremal Domains for Integral Inequalities in the Euclidean Space
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	63
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	74
dc.source.id	SCOPUS1066369X-2019-63-6-SID85070558815

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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.