dc.contributor.author |
Avkhadiev F. |
|
dc.date.accessioned |
2019-01-22T20:51:37Z |
|
dc.date.available |
2019-01-22T20:51:37Z |
|
dc.date.issued |
2018 |
|
dc.identifier.issn |
1995-0802 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/149135 |
|
dc.description.abstract |
© 2018, Pleiades Publishing, Ltd. We determine some special functionals as sharp constants in integral inequalities for test functions, defined on plane domains. First we prove a new one dimensional integral inequality. Also, we prove some generalizations of a classical Rellich result for two dimensional case, when there is an additional restriction for Fourier coefficients of the test functions. In addition, we examine a Rellich type inequality in plane domains with infinite Euclidean maximal modulus. As an application of our results we present a new simple proof of a remarkable theorem of P. Caldiroli and R. Musina from their paper “Rellich inequalities with weights”, published in Calc. Var. 45 (2012), 147–164. |
|
dc.relation.ispartofseries |
Lobachevskii Journal of Mathematics |
|
dc.subject |
Euclidean maximal modulus |
|
dc.subject |
plane domain |
|
dc.subject |
Rellich inequality |
|
dc.subject |
sharp constant |
|
dc.subject |
uniformly perfect set |
|
dc.title |
Rellich Type Inequalities with Weights in Plane Domains |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
5 |
|
dc.relation.ispartofseries-volume |
39 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
639 |
|
dc.source.id |
SCOPUS19950802-2018-39-5-SID85049569592 |
|