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Isolated singularities for weighted quasilinear elliptic equations

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cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.departmentacc16143-76e3-4569-a2ed-927deb72d1a2
cris.virtualsource.orcidacc16143-76e3-4569-a2ed-927deb72d1a2
dc.contributor.authorCirstea, Florica Cen
dc.contributor.authorDu, Yihongen
dc.date.accessioned2011-05-19T10:11:00Z
dc.date.issued2010
dc.description.abstractWe classify all the possible asymptotic behavior at the origin for positive solutions of quasilinear elliptic equations of the form div(∇|u|ᵖ⁻²∇u)=b(x)h(u) in Ω∖{0}, where 1∠p≤N and Ω is an open subset of ℝᴺ with 0∈Ω. Our main result provides a sharp extension of a well-known theorem of Friedman and Véron for h(u)=uq and b(x)≡1, and a recent result of the authors for p=2 and b(x)≡1. We assume that the function h is regularly varying at ∞ with index q (that is, limt→∞h(λt)/h(t)=λq for every λ>0) and the weight function b(x) behaves near the origin as a function b0(|x|) varying regularly at zero with index θ greater than −p. This condition includes b(x)=|x|θ and some of its perturbations, for instance, b(x)=|x|θ(−log|x|)ͫ for any m ∈ ℝ. Our approach makes use of the theory of regular variation and a new perturbation method for constructing sub- and super-solutions.en
dc.identifier.academiclevel#PLACEHOLDER_PARENT_METADATA_VALUE#en
dc.identifier.academiclevelAcademicen
dc.identifier.citationJournal of Functional Analysis, 259(1), p. 174-202en
dc.identifier.doi10.1016/j.jfa.2010.03.015en
dc.identifier.issn1096-0783en
dc.identifier.issn0022-1236en
dc.identifier.staff#PLACEHOLDER_PARENT_METADATA_VALUE#en
dc.identifier.staffune-id:yduen
dc.identifier.urihttps://hdl.handle.net/1959.11/7471
dc.languageenen
dc.publisherElsevier Incen
dc.relation.ispartofJournal of Functional Analysisen
dc.subject.keywordsPartial Differential Equationsen
dc.titleIsolated singularities for weighted quasilinear elliptic equationsen
dc.typeJournal Articleen
dspace.entity.typePublication
local.contributor.firstnameFlorica Cen
local.contributor.firstnameYihongen
local.contributor.lastnameCirsteaen
local.contributor.lastnameDuen
local.description.statisticsepubsVisitors: 87<br />Views: 84<br />Downloads: 0en
local.format.endpage202en
local.format.startpage174en
local.identifier.epublicationsrecordune-20110309-160127en
local.identifier.issue1en
local.identifier.scopusid77951978430en
local.identifier.unepublicationidune:7639en
local.identifier.volume259en
local.identifier.wosid000277139400007en
local.output.categoryC1en
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.peerreviewedYesen
local.profile.email#PLACEHOLDER_PARENT_METADATA_VALUE#en
local.profile.emailydu@une.edu.auen
local.profile.orcid#PLACEHOLDER_PARENT_METADATA_VALUE#en
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.schoolMathsen
local.profile.schoolSchool of Science and Technologyen
local.publisher.placeUnited States of Americaen
local.record.institutionUniversity of New Englanden
local.record.placeauen
local.search.authorCirstea, Florica Cen
local.search.authorDu, Yihongen
local.subject.for2008010110 Partial Differential Equationsen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.title.maintitleIsolated singularities for weighted quasilinear elliptic equationsen
local.uneassociationUnknownen
local.year.published2010en
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