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Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques

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dc.contributor.author Agarwal, RP en
dc.contributor.author Filippakis, ME en
dc.contributor.author O'Regan, D en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T01:30:01Z
dc.date.available 2014-03-01T01:30:01Z
dc.date.issued 2009 en
dc.identifier.issn 1687-2762 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/19453
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other NONLINEAR ELLIPTIC-EQUATIONS en
dc.subject.other MULTIPLE SOLUTIONS en
dc.subject.other CHANGING SOLUTIONS en
dc.subject.other SOBOLEV en
dc.subject.other CONTINUITY en
dc.title Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques en
heal.type journalArticle en
heal.identifier.primary 10.1155/2009/820237 en
heal.identifier.secondary http://dx.doi.org/10.1155/2009/820237 en
heal.identifier.secondary 820237 en
heal.language English en
heal.publicationDate 2009 en
heal.abstract We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point theory together with the method of upper and lower solutions, we prove the existence of at least three nontrivial smooth solutions: one positive, the second negative, and the third sign changing (nodal solution). Our hypotheses on the nonsmooth potential incorporate in our framework of analysis the so-called asymptotically p-linear problems. Copyright (C) 2009 Ravi P. Agarwal et al. en
heal.publisher HINDAWI PUBLISHING CORPORATION en
heal.journalName Boundary Value Problems en
dc.identifier.doi 10.1155/2009/820237 en
dc.identifier.isi ISI:000267453500001 en
dc.identifier.volume 2009 en
dc.identifier.spage 1 en
dc.identifier.epage 32 en


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