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dc.contributor.authorRoudbari, Sina Pouralien_US
dc.contributor.authorAfrouzi, Ghasem Alizadehen_US
dc.date.accessioned2020-10-27T12:25:25Z
dc.date.available2020-10-27T12:25:25Z
dc.date.issued2019
dc.identifier.citationRoudbari, S. P. & Afrouzi, G. A. (2019). Existence and multiplicity of weak solutions for perturbed Kirchhoff type elliptic problems with hardy potential. TWMS Journal Of Applied And Engineering Mathematics, 9(3), 500-511.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2738
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/433
dc.description.abstractIn this paper, we prove the existence of at least three weak solutions for a doubly eigenvalue elliptic systems involving the p-biharmonic equation with Hardy potential of Kirchhoff type with Navier boundary condition. More precisely, by using variational methods and three critical points theorem due to B. Ricceri, we establish multiplicity results on the existence of weak solutions for such problems where the reaction term is a nonlinearity function f which satisfies in the some convenient growth conditions. Indeed, using a consequence of the critical point theorem due to Ricceri, which in it the coercivity of the energy Euler functional was required and is important, we attempt the existence of multiplicity solutions for our problem under algebraic conditions on the nonlinear parts. We also give an explicit example to illustrate the obtained result.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectMultiplicity of weak solutionsen_US
dc.subjectPerturbed Kirchhoff type elliptic problemsen_US
dc.subjectHardy potentialen_US
dc.subjectCritical pointsen_US
dc.subjectP-biharmonic equationsen_US
dc.subjectBoundary-value problemen_US
dc.subjectNontrivial solutionsen_US
dc.subjectPositive solutionen_US
dc.subjectSystemsen_US
dc.titleExistence and multiplicity of weak solutions for perturbed Kirchhoff type elliptic problems with hardy potentialen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume9
dc.identifier.issue3
dc.identifier.startpage500
dc.identifier.endpage511
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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