Nontrivial solutions for Neumann problems with an indefinite linear part

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dc.contributor.author Gasinski, L en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T01:33:57Z
dc.date.available 2014-03-01T01:33:57Z
dc.date.issued 2010 en
dc.identifier.issn 0096-3003 en
dc.identifier.uri http://hdl.handle.net/123456789/20628
dc.subject Ambrosetti-Rabinowitz condition en
dc.subject Cerami condition en
dc.subject Indefinite linear part en
dc.subject Local linking en
dc.subject Neumann problem en
dc.subject Spectral decomposition en
dc.subject Superlinear nonlinearity en
dc.subject.classification Mathematics, Applied en
dc.subject.other Ambrosetti-Rabinowitz condition en
dc.subject.other Cerami condition en
dc.subject.other Indefinite linear part en
dc.subject.other Local linking en
dc.subject.other Neumann problem en
dc.subject.other Spectral decomposition en
dc.subject.other Superlinear en
dc.subject.other Boundary value problems en
dc.title Nontrivial solutions for Neumann problems with an indefinite linear part en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.amc.2010.08.004 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.amc.2010.08.004 en
heal.language English en
heal.publicationDate 2010 en
heal.abstract In this paper, we consider a semilinear Neumann problem with an indefinite linear part and a Caratheodory nonlinearity which is superlinear near infinity and near zero, but does not satisfy the Ambrosetti-Rabinowitz condition. Using an abstract existence theorem for C-1-functions having a local linking at the origin, we establish the existence of at least one nontrivial smooth solution. (C) 2010 Elsevier Inc. All rights reserved. en
heal.publisher ELSEVIER SCIENCE INC en
heal.journalName Applied Mathematics and Computation en
dc.identifier.doi 10.1016/j.amc.2010.08.004 en
dc.identifier.isi ISI:000283049300041 en
dc.identifier.volume 217 en
dc.identifier.issue 6 en
dc.identifier.spage 2666 en
dc.identifier.epage 2675 en

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