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Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities
Journal
Abstract and Applied Analysis
Author
Gasiński Leszek
Papageorgiou Nikolaos S.
Volume
2012
Article ID
492025
ISSN
1085-3375
eISSN
1687-0409
Language
English
Journal language
English
Abstract in English
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.
Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
Scopus© citations
2
dc.abstract.en | 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. | en |
dc.affiliation | Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania | pl |
dc.contributor.author | Gasiński, Leszek - 128012 | pl |
dc.contributor.author | Papageorgiou, Nikolaos S. | pl |
dc.date.accessioned | 2014-07-28T05:22:06Z | |
dc.date.available | 2014-07-28T05:22:06Z | |
dc.date.issued | 2012 | pl |
dc.description.accesstime | w momencie opublikowania, 0 | |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 2012 | pl |
dc.identifier.articleid | 492025 | pl |
dc.identifier.doi | 10.1155/2012/492025 | pl |
dc.identifier.eissn | 1687-0409 | pl |
dc.identifier.issn | 1085-3375 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/349 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
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.subtype | Article | pl |
dc.title | Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities | pl |
dc.title.journal | Abstract and Applied Analysis | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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
Wydział Matematyki i Informatyki
Gasiński, Leszek
No affiliation
Papageorgiou, Nikolaos S.
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