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dc.contributor.authorKeyhanfar, Alirezaen_US
dc.contributor.authorRasouli, Sayyed Hashemen_US
dc.contributor.authorAfrouzi, Ghasem Alizadehen_US
dc.date.accessioned2020-11-13T07:51:54Z
dc.date.available2020-11-13T07:51:54Z
dc.date.issued2020-04-07
dc.identifier.citationKeyhanfar, A., Rasouli, S. H. & Afrouzi, G. A. (2020). Existence of a positive solution for superlinear Laplacian equation via mountain pass theorem. TWMS Journal Of Applied And Engineering Mathematics, 10(3), 799-805en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2867
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/106-vol10no3/574
dc.description.abstractIn this paper, we are going to show a nonlinear laplacian equation with the Dirichlet boundary value as follow has a positive solution: ( −∆u + V (x)u = g(x, u) x ∈ Ω u = 0 x ∈ ∂Ω where, ∆u = div(∇u) is the laplacian operator, Ω is a bounded domain in R³ with smooth boundary ∂Ω. At first, we show the equation has a nontrivial solution. next, using strong maximal principle, Cerami condition and a variation of the mountain pass theorem help us to prove critical point of functional I is a positive solution.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_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.subjectLaplacian equationen_US
dc.subjectPostive solutionen_US
dc.subjectCerami conditionen_US
dc.subjectMountain pass theoremen_US
dc.subjectGround state solutionen_US
dc.subjectCritical growthen_US
dc.titleExistence of a positive solution for superlinear Laplacian equation via mountain pass theoremen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume10
dc.identifier.issue3
dc.identifier.startpage799
dc.identifier.endpage805
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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