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MULTIPLE SOLUTIONS FOR NONLINEAR NEUMANN PROBLEMS DRIVEN BY A NONHOMOGENEOUS DIFFERENTIAL OPERATOR

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dc.contributor.author Motreanu, D en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T02:05:26Z
dc.date.available 2014-03-01T02:05:26Z
dc.date.issued 2011 en
dc.identifier.issn 0002-9939 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/29479
dc.subject Nonlinear Neumann problem en
dc.subject p-Laplacian en
dc.subject local minimizers en
dc.subject mountain pass theorem en
dc.subject second deformation theorem en
dc.subject nonlinear regularity theory en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other LINEAR ELLIPTIC-EQUATIONS en
dc.subject.other P-LAPLACIAN en
dc.subject.other LOCAL MINIMIZERS en
dc.subject.other EXISTENCE en
dc.subject.other SIGN en
dc.title MULTIPLE SOLUTIONS FOR NONLINEAR NEUMANN PROBLEMS DRIVEN BY A NONHOMOGENEOUS DIFFERENTIAL OPERATOR en
heal.type journalArticle en
heal.language English en
heal.publicationDate 2011 en
heal.abstract We consider a nonlinear Neumann problem driven by a nonhomogeneous quasilinear degenerate elliptic differential operator div a(x, del u), a special case of which is the p-Laplacian. The reaction term is a Caratheodory function f (x, s) which exhibits subcritical growth in s. Using variational methods based on the mountain pass and second deformation theorems, together with truncation and minimization techniques, we show that the problem has three nontrivial smooth solutions, two of which have constant sign (one positive, the other negative). A crucial tool in our analysis is a result of independent interest which we prove here and which relates W-1,W-P and C-1 local minimizers of a C-1-functional constructed with the general differential operator div a(x, del u). en
heal.publisher AMER MATHEMATICAL SOC en
heal.journalName PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY en
dc.identifier.isi ISI:000295432600014 en
dc.identifier.volume 139 en
dc.identifier.issue 10 en
dc.identifier.spage 3527 en
dc.identifier.epage 3535 en


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