dc.contributor.author |
Avkhadiev F. |
|
dc.date.accessioned |
2019-01-22T20:41:41Z |
|
dc.date.available |
2019-01-22T20:41:41Z |
|
dc.date.issued |
2018 |
|
dc.identifier.issn |
1066-369X |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/148321 |
|
dc.description.abstract |
© 2018, Allerton Press, Inc. On domains of Euclidean spaces we consider inequalities for test functions and their Laplacians. We describe a family of domains having vanishing Rellich constants. For the Euclidean space of dimension 4 we present a new version of the Rellich inequality. In addition, we prove new one-dimensional Rellich-type integral inequalities for linear combinations of test functions and their derivatives of orders one and two. |
|
dc.relation.ispartofseries |
Russian Mathematics |
|
dc.subject |
Laplace operator |
|
dc.subject |
real spherical harmonics |
|
dc.subject |
the Hardy inequality |
|
dc.subject |
the Rellich inequality |
|
dc.subject |
uniformly perfect set |
|
dc.title |
On Rellich’s Inequalities in Euclidean Spaces |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
8 |
|
dc.relation.ispartofseries-volume |
62 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
71 |
|
dc.source.id |
SCOPUS1066369X-2018-62-8-SID85050462843 |
|