Relaxation and nonoccurrence of the Lavrentiev phenomenon for nonconvex problems

Simple item page
dc.citation.epage1198en_US
dc.citation.issueNumber6en_US
dc.citation.spage1185en_US
dc.citation.volumeNumber29en_US
dc.contributor.authorHüsseinov, F.en_US
dc.date.accessioned2015-07-28T12:04:38Z
dc.date.available2015-07-28T12:04:38Z
dc.date.issued2013en_US
dc.departmentDepartment of Economicsen_US
dc.description.abstractThe paper studies a relaxation of the basic multidimensional variational problem, when the class of admissible functions is endowed with the Lipschitz convergence introduced by Morrey. It is shown that in this setup, the integral of a variational problem must satisfy a classical growth condition, unlike the case of uniform convergence. The relaxations constructed here imply the existence of a Lipschitz convergent minimizing sequence. Based on this observation, the paper also shows that the Lavrentiev phenomenon does not occur for a class of nonconvex problems. © 2013 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:04:38Z (GMT). No. of bitstreams: 1 10.1007-s10114-013-1721-3.pdf: 250665 bytes, checksum: 7de50e19f5c292f72d6191a333429d9b (MD5)en
dc.identifier.doi10.1007/s10114-013-1721-3en_US
dc.identifier.eissn1439-7617
dc.identifier.issn1439-8516
dc.identifier.urihttp://hdl.handle.net/11693/13108
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s10114-013-1721-3en_US
dc.source.titleActa Mathematica Sinicaen_US
dc.subjectLavrentiev phenomenonen_US
dc.subjectMultidimensional variational problemen_US
dc.subjectRelaxationen_US
dc.titleRelaxation and nonoccurrence of the Lavrentiev phenomenon for nonconvex problemsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
10.1007-s10114-013-1721-3.pdf
Size:
244.79 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Scholarly Publications - Economics