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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 |