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Asymptotic paths for subsolutions of quasilinear elliptic equations

dc.contributor.authorHeinonen, Juhaen_US
dc.date.accessioned2006-09-11T18:02:07Z
dc.date.available2006-09-11T18:02:07Z
dc.date.issued1988-12en_US
dc.identifier.citationHeinonen, Juha; (1988). "Asymptotic paths for subsolutions of quasilinear elliptic equations." Manuscripta Mathematica 62(4): 449-465. <http://hdl.handle.net/2027.42/46647>en_US
dc.identifier.issn1432-1785en_US
dc.identifier.issn0025-2611en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46647
dc.description.abstractLet u be an entire lower semicontinuous subsolution to the quasilinear elliptic equation div A(x ,∇ u )=0 in ℝ n . It is shown that if u is not bounded above, then there exists a path going to infinity along which u tends to infinity. The result extends works of Talpur, Fuglede, and others. Growth aspects of subsolutions are also studied.en_US
dc.format.extent874856 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherAlgebraic Geometryen_US
dc.subject.otherMathematics, Generalen_US
dc.subject.other31C05en_US
dc.subject.otherTopological Groups, Lie Groupsen_US
dc.subject.otherAsymptotic Pathsen_US
dc.subject.otherOptimizationen_US
dc.subject.otherMathematicsen_US
dc.subject.otherGeometryen_US
dc.subject.otherNumber Theoryen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.subject.otherA-subharmonic Functionsen_US
dc.subject.otherTractsen_US
dc.subject.other35J70en_US
dc.titleAsymptotic paths for subsolutions of quasilinear elliptic equationsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Jyväskylä, Seminaarinkatu 15, SF-40100, Jyväskylä, Finland; Universität Bonn, Bonn, Germany; Department of Mathematics, University of Michigan, 48109-1003, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46647/1/229_2005_Article_BF01357721.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01357721en_US
dc.identifier.sourceManuscripta Mathematicaen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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