Hardy-Rellich integral inequalities in domains satisfying the exterior sphere condition

dc.contributor.author	Avkhadiev F.
dc.date.accessioned	2020-01-15T21:45:18Z
dc.date.available	2020-01-15T21:45:18Z
dc.date.issued	2019
dc.identifier.issn	1061-0022
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/155656
dc.description.abstract	© 2019 American Mathematical Society. Analogs of Hardy-Rellich inequalities are studied for compactly supported functions on the domains of Euclidean space in the case when weight functions are powers of the distance between a point and the boundary of the domain and the domains satisfy the exterior sphere condition. Explicit estimates of constants in this inequalities are obtained in terms of the dimension, the weight function, and two geometric characteristics: the radius in the exterior sphere condition and the inner radius of the domain.
dc.relation.ispartofseries	St. Petersburg Mathematical Journal
dc.subject	Exterior sphere condition
dc.subject	Hardy inequality
dc.subject	Nonconvex domain
dc.subject	Rellich inequality
dc.title	Hardy-Rellich integral inequalities in domains satisfying the exterior sphere condition
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	30
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	161
dc.source.id	SCOPUS10610022-2019-30-2-SID85062852005

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