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Existence of three nontrivial smooth solutions for nonlinear resonant neumann problems driven by the p-laplacian

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dc.contributor.author Gasinski, L 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 0232-2064 en
dc.identifier.uri http://hdl.handle.net/123456789/20435
dc.subject Contractible sets en
dc.subject Critical groups en
dc.subject Local minimizers en
dc.subject P-Laplacian en
dc.subject Resonance en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other LINEAR ELLIPTIC-EQUATIONS en
dc.subject.other MULTIPLE SOLUTIONS en
dc.title Existence of three nontrivial smooth solutions for nonlinear resonant neumann problems driven by the p-laplacian en
heal.type journalArticle en
heal.identifier.primary 10.4171/ZAA/1415 en
heal.identifier.secondary http://dx.doi.org/10.4171/ZAA/1415 en
heal.language English en
heal.publicationDate 2010 en
heal.abstract We consider a nonlinear Neumann elliptic problem driven by the p-Laplacian and with a reaction term which asymptotically at ±∞ exhibits resonance with respect to the principal eigenvalue λ0 = 0. Using variational methods combined with tools from Morse theory, we show that the resonant problem has at least three nontrivial smooth solutions, two of which have constant sign (one positive, the other negative). © European Mathematical Society. en
heal.publisher HELDERMANN VERLAG en
heal.journalName Zeitschrift fur Analysis und ihre Anwendung en
dc.identifier.doi 10.4171/ZAA/1415 en
dc.identifier.isi ISI:000285565100003 en
dc.identifier.volume 29 en
dc.identifier.issue 4 en
dc.identifier.spage 413 en
dc.identifier.epage 428 en


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