Existence of solutions for fourth order elliptic equations of Kirchhoff type

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dc.contributor.authorWang, Fanglei
dc.contributor.authorAvci, Mustafa
dc.contributor.authorAn, Yukun
dc.date.accessioned2024-04-24T16:15:09Z
dc.date.available2024-04-24T16:15:09Z
dc.date.issued2014
dc.departmentDicle Üniversitesien_US
dc.description.abstractThis paper is concerned with the existence of nontrivial solutions for a class of fourth order elliptic equations of Kirchhoff type {Delta 2u - lambda (a + b integral(Omega)vertical bar del u vertical bar(2)dx) Delta u = f(x, u), in Omega, u = 0, Delta u = 0, on partial derivative Omega, where a > 0, b >= 0 are constants, and lambda > 0 is a parameter. We will show that there exists a lambda* such that (1) has nontrivial solutions for 0 < lambda < lambda* by using the mountain pass techniques and the truncation method. (C) 2013 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.jmaa.2013.07.003
dc.identifier.endpage146en_US
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84883454185
dc.identifier.scopusqualityQ2
dc.identifier.startpage140en_US
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2013.07.003
dc.identifier.urihttps://hdl.handle.net/11468/15671
dc.identifier.volume409en_US
dc.identifier.wosWOS:000324974700012
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFourth Order Elliptic Equationen_US
dc.subjectNontrivial Solutionsen_US
dc.subjectMountain Pass Theoremen_US
dc.subjectTruncation Methoden_US
dc.titleExistence of solutions for fourth order elliptic equations of Kirchhoff typeen_US
dc.titleExistence of solutions for fourth order elliptic equations of Kirchhoff type
dc.typeArticleen_US

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