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The existence of positive solutions for kirchhoff-type problems via the sub-supersolution method

dc.contributor.authorYan, Baoqiang
dc.contributor.authorO’Regan, Donal
dc.contributor.authorAgarwal, Ravi P.
dc.date.accessioned2018-09-20T16:28:45Z
dc.date.available2018-09-20T16:28:45Z
dc.date.issued2018-03-01
dc.identifier.citationYan, Baoqiang; O’Regan, Donal; Agarwal, Ravi P. (2018). The existence of positive solutions for kirchhoff-type problems via the sub-supersolution method. Analele Universitatii "Ovidius" Constanta - Seria Matematica 26 (1), 5-41
dc.identifier.issn1844-0835
dc.identifier.urihttp://hdl.handle.net/10379/14479
dc.description.abstractIn this paper we discuss the existence of a solution between well ordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of positive solutions for Kirchhoff-type problems when the nonlinearity is singular or sign-changing. Moreover, we obtain some necessary and sufficient conditions for the existence of positive solutions for the problem when N = 1.
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofAnalele Universitatii "Ovidius" Constanta - Seria Matematica
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectkirchhoff-type elliptic problems
dc.subjectrabinowitz-type global bifurcation theory
dc.subjectsub-supersolution method
dc.subjectexistence
dc.subjectuniqueness
dc.subjectboundary-value problem
dc.subjectasymptotic-behavior
dc.subjectequation
dc.subjectsingularity
dc.subjectdiffusion
dc.subjectr-3
dc.titleThe existence of positive solutions for kirchhoff-type problems via the sub-supersolution method
dc.typeArticle
dc.identifier.doi10.2478/auom-2018-0001
dc.local.publishedsourcehttps://content.sciendo.com/downloadpdf/journals/auom/26/1/article-p5.pdf
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland