Isoperimetric properties of Euclidean boundary moments of a simply connected domain

dc.contributor.author	Salakhudinov R.
dc.date.accessioned	2018-09-18T20:17:09Z
dc.date.available	2018-09-18T20:17:09Z
dc.date.issued	2013
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/138304
dc.description.abstract	We consider integral functionals of a simply connected domain which depend on the distance to the domain boundary. We prove an isoperimetric inequality generalizing theorems derived by the Schwarz symmetrization method. For L p -norms of the distance function we prove an analog of the Payne inequality for the torsional rigidity of the domain. In compare with the Payne inequality we find new extremal domains different from a disk. © 2013 Allerton Press, Inc.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	Bonnesen inequality
dc.subject	distance function to the boundary of a domain
dc.subject	Euclidean moments of a domain with respect to the boundary
dc.subject	isoperimetric inequalities
dc.subject	isoperimetric monotonicity
dc.subject	torsional rigidity
dc.title	Isoperimetric properties of Euclidean boundary moments of a simply connected domain
dc.type	Article
dc.relation.ispartofseries-issue	8
dc.relation.ispartofseries-volume	57
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	57
dc.source.id	SCOPUS1066369X-2013-57-8-SID84881357628

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