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Existence of multiple solutions for nonlinear dirichlet problems with a nonhomogeneous differential operator

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dc.contributor.author Kyritsi, ST en
dc.contributor.author Regan, DO' en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T01:33:28Z
dc.date.available 2014-03-01T01:33:28Z
dc.date.issued 2010 en
dc.identifier.issn 1536-1365 en
dc.identifier.uri http://hdl.handle.net/123456789/20434
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-77955871440&partnerID=40&md5=a1db8d2349062c700942aa1ac720e0f2 en
dc.subject Critical groups en
dc.subject Morse theory en
dc.subject Mountain pass theorem en
dc.subject Nonhomogeneous differential operator en
dc.subject Second deformation theorem en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other P-LAPLACIAN TYPE en
dc.subject.other ELLIPTIC-EQUATIONS en
dc.subject.other THEOREM en
dc.title Existence of multiple solutions for nonlinear dirichlet problems with a nonhomogeneous differential operator en
heal.type journalArticle en
heal.language English en
heal.publicationDate 2010 en
heal.abstract We consider nonlinear elliptic problems driven by a nonhomogeneous nonlinear differential operator. Using variational methods combined with Morse theory (critical groups), we prove two multiplicity results establishing three nontrivial smooth solutions. For the semilinear problem (linear differential operator), we produce four nontrivial smooth solutions. In the special case of the p-Laplacian differential operator, our framework of analysis incorporates equations which are resonant at infinity with respect to the principal eigenvalue. en
heal.publisher ADVANCED NONLINEAR STUDIES, INC en
heal.journalName Advanced Nonlinear Studies en
dc.identifier.isi ISI:000280268000007 en
dc.identifier.volume 10 en
dc.identifier.issue 3 en
dc.identifier.spage 631 en
dc.identifier.epage 657 en


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