Form of presentation | Articles in international journals and collections |
Year of publication | 2016 |
Язык | английский |
|
Avkhadiev Farit Gabidinovich, author
|
Bibliographic description in the original language |
Avkhadiev F.G. Hardy-Rellich inequalities in domains of the Euclidean space. J. Math. Anal. Appl., 442(2016), 469-484. |
Annotation |
For test functiond supported in a domain of the Euclidean space we consider the Hardy-Rellich inequality when the weight is a power of the distance to the boundary of the domain. We examine the Owen result foe convex domain in the case of non-convex domain/ It is proved that a positive constant for a plane domain exists if and only if the boundary of the domain is a uniformly perfect set. Also, we obtain several sharp estimates of constants for multidimensional non-convex domains. |
Keywords |
Hardy-Rellich inequality, non-convex domain, uniformly perfect set |
The name of the journal |
J MATH ANAL APPL
|
URL |
http://www.elsevier.com/locate/jmaa |
Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=131919&p_lang=2 |
Full metadata record |
Field DC |
Value |
Language |
dc.contributor.author |
Avkhadiev Farit Gabidinovich |
ru_RU |
dc.date.accessioned |
2016-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2016-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2016 |
ru_RU |
dc.identifier.citation |
Avkhadiev F.G. Hardy-Rellich inequalities in domains of the Euclidean space. J. Math. Anal. Appl., 442(2016), 469-484. |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/eng/?p_id=131919&p_lang=2 |
ru_RU |
dc.description.abstract |
J MATH ANAL APPL |
ru_RU |
dc.description.abstract |
For test functiond supported in a domain of the Euclidean space we consider the Hardy-Rellich inequality when the weight is a power of the distance to the boundary of the domain. We examine the Owen result foe convex domain in the case of non-convex domain/ It is proved that a positive constant for a plane domain exists if and only if the boundary of the domain is a uniformly perfect set. Also, we obtain several sharp estimates of constants for multidimensional non-convex domains. |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
Hardy-Rellich inequality |
ru_RU |
dc.subject |
non-convex domain |
ru_RU |
dc.subject |
uniformly perfect set |
ru_RU |
dc.title |
Hardy-Rellich inequalities in domains of the Euclidean space |
ru_RU |
dc.type |
Articles in international journals and collections |
ru_RU |
|