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Pairs of positive solutions for singular p-Laplacian equations with a p-superlinear potential

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dc.contributor.author Kyritsi, ST en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T01:34:03Z
dc.date.available 2014-03-01T01:34:03Z
dc.date.issued 2010 en
dc.identifier.issn 0362-546X en
dc.identifier.uri http://hdl.handle.net/123456789/20668
dc.subject C-condition en
dc.subject Mountain pass theorem en
dc.subject p-Laplacian en
dc.subject p-superlinear term en
dc.subject Singular equation en
dc.subject Upper and lower solutions en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other Mountain pass theorem en
dc.subject.other P-Laplacian en
dc.subject.other Singular equations en
dc.subject.other Superlinear en
dc.subject.other Upper and lower solutions en
dc.subject.other Landforms en
dc.subject.other Variational techniques en
dc.subject.other Laplace transforms en
dc.title Pairs of positive solutions for singular p-Laplacian equations with a p-superlinear potential en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.na.2010.04.019 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.na.2010.04.019 en
heal.language English en
heal.publicationDate 2010 en
heal.abstract We consider a singular parametric elliptic equation driven by the p-Laplacian and with a p-superlinear potential which does not satisfy the Ambrosetti-Rabinowitz condition. Using variational arguments, combined with truncation techniques and the method of upper and lower solutions, we show that there exists a lambda* > 0 such that if the parameter lambda is in (0, lambda*), then the problem has two ordered smooth positive strong solutions. (C) 2010 Elsevier Ltd. All rights reserved. en
heal.publisher PERGAMON-ELSEVIER SCIENCE LTD en
heal.journalName Nonlinear Analysis, Theory, Methods and Applications en
dc.identifier.doi 10.1016/j.na.2010.04.019 en
dc.identifier.isi ISI:000278546400002 en
dc.identifier.volume 73 en
dc.identifier.issue 5 en
dc.identifier.spage 1136 en
dc.identifier.epage 1142 en


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