KFU. Card publication. Isoperimetric inequalities for $L^p$-norms of the stress function of a multiply connected plane domain

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FEDERAL UNIVERSITY

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ISOPERIMETRIC INEQUALITIES FOR $L^P$-NORMS OF THE STRESS FUNCTION OF A MULTIPLY CONNECTED PLANE DOMAIN

Form of presentation

Articles in Russian journals and collections

Year of publication

2013

Authors, employees of KFU

Salakhudinov Rustem Gumerovich, author

Bibliographic description in the original language

Salakhudinov R. G. Isoperimetric inequalities for $L^p$-norms of the stress function of a multiply connected plane domain // Russ. Math. (Iz. VUZ). - 2013. - V. 57 (9). - P. 62-66 (DOI: 10.3103/S1066369X13090107)

Annotation

Russian Mathematics

Keywords

stress function, torsional rigidity, Payne inequality, isoperimetric inequalities, isoperimetric monotonicity, symmetrization

The name of the journal

Russian Mathematics

URL

http://old.kpfu.ru/journals/izv_vuz/arch/english/2013/09/e10-09.pdf

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=68266&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Salakhudinov Rustem Gumerovich	ru_RU
dc.date.accessioned	2013-01-01T00:00:00Z	ru_RU
dc.date.available	2013-01-01T00:00:00Z	ru_RU
dc.date.issued	2013	ru_RU
dc.identifier.citation	Salakhudinov R. G. Isoperimetric inequalities for $L^p$-norms of the stress function of a multiply connected plane domain // Russ. Math. (Iz. VUZ). - 2013. - V. 57 (9). - P. 62-66 (DOI: 10.3103/S1066369X13090107)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=68266&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	Let $u(x,G)$ be the stress function of a multiply connected plane domain $G$. We construct new functionals depending on the stress function. The constructed functionals are isoperimetrically monotone with respect to the free parameter. A particular case of the proved result is the inequality of obtained by Payne for the torsional rigidity of $G$.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	stress function	ru_RU
dc.subject	torsional rigidity	ru_RU
dc.subject	Payne inequality	ru_RU
dc.subject	isoperimetric inequalities	ru_RU
dc.subject	isoperimetric monotonicity	ru_RU
dc.subject	symmetrization	ru_RU
dc.title	Isoperimetric inequalities for $L^p$-norms of the stress function of a multiply connected plane domain	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU