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Estimation of the L p-norms of stress functions for finitely connected plane domains

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dc.contributor.author Salakhudinov R.
dc.date.accessioned 2018-09-18T20:00:53Z
dc.date.available 2018-09-18T20:00:53Z
dc.date.issued 2006
dc.identifier.issn 0001-4346
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/135757
dc.description.abstract Let u(x, G) be the classical stress function of a finitely connected plane domain G. The isoperimetric properties of the L p -norms of u(x, G) are studied. Payne's inequality for simply connected domains is generalized to finitely connected domains. It is proved that the L p -norms of the functions u(x, G) and u -1 (x, G) strictly decrease with respect to the parameter p, and a sharp bound for the rate of decrease of the L p -norms of these functions in terms of the corresponding L p -norms of the stress function for an annulus is obtained. A new integral inequality for the L p -norms of u(x, G), which is an analog of the inequality obtained by F. G. Avkhadiev and the author for the L p -norm of conformal radii, is proved. © Springer Science+Business Media, Inc. 2006.
dc.relation.ispartofseries Mathematical Notes
dc.subject Boundary-value problem
dc.subject Finitely connected domain
dc.subject Isoperimetric inequality
dc.subject Stress function
dc.subject Torsional rigidity
dc.title Estimation of the L p-norms of stress functions for finitely connected plane domains
dc.type Article
dc.relation.ispartofseries-issue 3-4
dc.relation.ispartofseries-volume 80
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 567
dc.source.id SCOPUS00014346-2006-80-34-SID33750345596


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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.

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