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https://hdl.handle.net/1959.11/3951
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cirstea, Florica Corina | en |
dc.contributor.author | Du, Yihong | en |
dc.date.accessioned | 2009-12-21T15:48:00Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Journal of Functional Analysis, 250(2), p. 317-346 | en |
dc.identifier.issn | 1096-0783 | en |
dc.identifier.issn | 0022-1236 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/3951 | - |
dc.description.abstract | We consider the semilinear elliptic equation Δu=h(u) in Ω {0}, where Ω is an open subset of ℝ^N (N≥2) containing the origin and h is locally Lipschitz continuous on [0,∞), positive in (0,∞). We give a complete classification of isolated singularities of positive solutions when h varies regularly at infinity of index q ∈ (1,CN)(that is, limu→∞h(λu)/h(u)=λ^q, for every λ>0), where CN denotes either N/(N-2) if N≥3 or ∞ if N=2. Our result extends a well-known theorem of Véron for the case h(u)=u^q. | en |
dc.language | en | en |
dc.publisher | Elsevier Inc | en |
dc.relation.ispartof | Journal of Functional Analysis | en |
dc.title | Asymptotic Behavior of Solutions of Semilinear Elliptic Equations Near an Isolated Singularity | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1016/j.jfa.2007.05.005 | en |
dc.subject.keywords | Mathematical Sciences | en |
local.contributor.firstname | Florica Corina | en |
local.contributor.firstname | Yihong | en |
local.subject.for2008 | 019999 Mathematical Sciences not elsewhere classified | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | ydu@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | pes:5920 | en |
local.publisher.place | United States of America | en |
local.format.startpage | 317 | en |
local.format.endpage | 346 | en |
local.identifier.scopusid | 34547701913 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 250 | en |
local.identifier.issue | 2 | en |
local.contributor.lastname | Cirstea | en |
local.contributor.lastname | Du | en |
dc.identifier.staff | une-id:ydu | en |
local.profile.orcid | 0000-0002-1235-0636 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:4048 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Asymptotic Behavior of Solutions of Semilinear Elliptic Equations Near an Isolated Singularity | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.search.author | Cirstea, Florica Corina | en |
local.search.author | Du, Yihong | en |
local.uneassociation | Unknown | en |
local.identifier.wosid | 000249720100003 | en |
local.year.published | 2007 | en |
Appears in Collections: | Journal Article School of Science and Technology |
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