Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities

2012
journal article
article
2
dc.abstract.enWe consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term. Using variational methods coupled with suitable truncation techniques, we prove two multiplicity theorems for small values of the parameter. Both theorems produce five nontrivial smooth solutions, and in the second theorem we provide precise sign information for all the solutions.en
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorGasiński, Leszek - 128012 pl
dc.contributor.authorPapageorgiou, Nikolaos S.pl
dc.date.accessioned2014-07-28T05:22:06Z
dc.date.available2014-07-28T05:22:06Z
dc.date.issued2012pl
dc.description.accesstimew momencie opublikowania, 0
dc.description.versionostateczna wersja wydawcy
dc.description.volume2012pl
dc.identifier.articleid492025pl
dc.identifier.doi10.1155/2012/492025pl
dc.identifier.eissn1687-0409pl
dc.identifier.issn1085-3375pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/349
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0 Polska*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/legalcode*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleDirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearitiespl
dc.title.journalAbstract and Applied Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enen
We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term. Using variational methods coupled with suitable truncation techniques, we prove two multiplicity theorems for small values of the parameter. Both theorems produce five nontrivial smooth solutions, and in the second theorem we provide precise sign information for all the solutions.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Gasiński, Leszek - 128012
dc.contributor.authorpl
Papageorgiou, Nikolaos S.
dc.date.accessioned
2014-07-28T05:22:06Z
dc.date.available
2014-07-28T05:22:06Z
dc.date.issuedpl
2012
dc.description.accesstime
w momencie opublikowania, 0
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
2012
dc.identifier.articleidpl
492025
dc.identifier.doipl
10.1155/2012/492025
dc.identifier.eissnpl
1687-0409
dc.identifier.issnpl
1085-3375
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/349
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/pl/legalcode
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities
dc.title.journalpl
Abstract and Applied Analysis
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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