| Форма представления | Статьи в российских журналах и сборниках |
| Год публикации | 2013 |
|
Салахудинов Рустем Гумерович, автор
|
| Библиографическое описание на языке оригинала |
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) |
| Аннотация |
Russian Mathematics |
| Ключевые слова |
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 |
| Название журнала |
Russian Mathematics
|
| URL |
http://link.springer.com/article/10.3103/S1066369X13080070 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=68102 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Салахудинов Рустем Гумерович |
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/?p_id=68102 |
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 |
Статьи в российских журналах и сборниках |
ru_RU |
|
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