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Existence and multiplicity results for nonlinear nonautonomous second-order systems

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dc.contributor.author Filippakis, ME en
dc.date.accessioned 2014-03-01T01:28:22Z
dc.date.available 2014-03-01T01:28:22Z
dc.date.issued 2008 en
dc.identifier.issn 0362-546X en
dc.identifier.uri http://hdl.handle.net/123456789/18819
dc.subject Coercive functional en
dc.subject Palais-Smale condition en
dc.subject Positive solution en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other Function evaluation en
dc.subject.other Laplace equation en
dc.subject.other Problem solving en
dc.subject.other Theorem proving en
dc.subject.other Variational techniques en
dc.subject.other Coercive functional en
dc.subject.other Positive solution en
dc.subject.other Nonlinear systems en
dc.title Existence and multiplicity results for nonlinear nonautonomous second-order systems en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.na.2006.12.046 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.na.2006.12.046 en
heal.language English en
heal.publicationDate 2008 en
heal.abstract In this paper we consider nonlinear periodic systems driven by the ordinary p-Laplacian and having a nonsmooth potential function. Under minimal and natural hypotheses on the nonsmooth potential and using variational methods based on the nonsmooth critical point theory we prove four existence theorems and a multiplicity theorem. We conclude the paper with an existence theorem for the scalar problem, in which the energy functional is indefinite (i.e. it is unbounded both above and below). (C) 2008 Published by Elsevier Ltd. en
heal.publisher PERGAMON-ELSEVIER SCIENCE LTD en
heal.journalName Nonlinear Analysis, Theory, Methods and Applications en
dc.identifier.doi 10.1016/j.na.2006.12.046 en
dc.identifier.isi ISI:000253882100015 en
dc.identifier.volume 68 en
dc.identifier.issue 6 en
dc.identifier.spage 1611 en
dc.identifier.epage 1626 en


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