Relaxation of multidimensional variational problems with constraints of general form

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dc.citation.epage659en_US
dc.citation.issueNumber5en_US
dc.citation.spage651en_US
dc.citation.volumeNumber45en_US
dc.contributor.authorHüsseinov, F.en_US
dc.date.accessioned2016-02-08T10:34:59Z
dc.date.available2016-02-08T10:34:59Z
dc.date.issued2001en_US
dc.departmentDepartment of Economicsen_US
dc.description.abstractA relaxation of multidimensional variational problems with constraint of rather general form on gradients of admissible functions is investigated. It is assumed that the gradient of an admissible function belongs to an arbitrary bounded set. This relaxation involves as a class of admissible function the closure of the class of admissible functions of the original problem in the topology of uniform convergence, and uses a theorem characterizing this closure.en_US
dc.identifier.doi10.1016/S0362-546X(99)00416-2en_US
dc.identifier.eissn1873-5215
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/11693/24832
dc.language.isoEnglishen_US
dc.publisherPergamon Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0362-546X(99)00416-2en_US
dc.source.titleNonlinear Analysis : Theory, Methods & Applicationsen_US
dc.subjectMultidimensional variational problemen_US
dc.subjectRelaxation of variational problemen_US
dc.subjectConvex hullen_US
dc.subjectYoung–Fenchel conjugateen_US
dc.subjectPiece-wise affine functionen_US
dc.subjectWeak convergenceen_US
dc.titleRelaxation of multidimensional variational problems with constraints of general formen_US
dc.typeArticleen_US
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