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dc.date.accessioned2013-03-12T08:19:02Z
dc.date.available2013-03-12T08:19:02Z
dc.date.issued2004en_US
dc.date.submitted2009-11-30en_US
dc.identifier.urihttp://hdl.handle.net/10852/10613
dc.description.abstractWe prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a special case we also prove maximal regularity and uniqueness results. Some of the obtained results are applied, along with an anisotropic variant of the div-curl lemma in the Hardy one space, to prove that the space of anisotropic harmonic maps into spheres is compact in the weak topology of the relevant anisotropic Sobolev space.eng
dc.language.isoengen_US
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076en_US
dc.relation.urihttp://urn.nb.no/URN:NBN:no-8076
dc.titleANISOTROPIC NONLINEAR ELLIPTIC SYSTEMS WITH MEASURE DATA AND ANISOTROPIC HARMONIC MAPS INTO SPHERESen_US
dc.typeResearch reporten_US
dc.date.updated2009-11-30en_US
dc.creator.authorBendahmane, Mostafaen_US
dc.creator.authorKarlsen, Kenneth H.en_US
dc.subject.nsiVDP::410en_US
dc.identifier.urnURN:NBN:no-23666en_US
dc.type.documentForskningsrapporten_US
dc.identifier.duo97458en_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10613/1/pm18-04.pdf


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