Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres

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dc.contributor.authorBendahmane, Mostafa
dc.contributor.authorKarlsen, Kenneth Hvistendahl
dc.date.accessioned2021-07-16T15:01:52Z
dc.date.available2021-07-16T15:01:52Z
dc.date.issued2006-04-06
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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent30 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBendahmane, M., & Karlsen, K. H. (2006). Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres. <i>Electronic Journal of Differential Equations, 2006</i>(46), pp. 1-30.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13919
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectElliptic system
dc.subjectAnisotropic
dc.subjectNonlinear
dc.subjectMeasure data
dc.subjectWeak solution
dc.subjectExistence
dc.subjectHarmonic map
dc.titleAnisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
dc.typeArticle

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