KFU. Card publication. An isoperimetric monotonicity of euclidian moments of simply connected domain

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

AN ISOPERIMETRIC MONOTONICITY OF EUCLIDIAN MOMENTS OF SIMPLY CONNECTED 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. An isoperimetric monotonicity of euclidian moments of simply connected domain // Russ. Math. (Iz. VUZ). - 2013. - V. 57 (8). - P. 57-69 (DOI: 10.3103/S1066369X13080070)

Annotation

Russian Mathematics

Keywords

distance function to the boundary of a domain, Bonnesen inequality, isoperimetric inequalities, Euclidean moments of a domain with respect to the boundary, torsional rigidity, isoperimetric monotonicity

The name of the journal

Russian Mathematics

URL

http://link.springer.com/article/10.3103/S1066369X13080070

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

https://repository.kpfu.ru/eng/?p_id=68102&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. An isoperimetric monotonicity of euclidian moments of simply connected domain // Russ. Math. (Iz. VUZ). - 2013. - V. 57 (8). - P. 57-69 (DOI: 10.3103/S1066369X13080070)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=68102&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
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 circle.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	distance function to the boundary of a domain	ru_RU
dc.subject	Bonnesen inequality	ru_RU
dc.subject	isoperimetric inequalities	ru_RU
dc.subject	Euclidean moments of a domain with respect to the boundary	ru_RU
dc.subject	torsional rigidity	ru_RU
dc.subject	isoperimetric monotonicity	ru_RU
dc.title	An isoperimetric monotonicity of euclidian moments of simply connected domain	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU