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Nonlinear, nonhomogeneous periodic problems with no growth control on the reaction
nonhomogeneous differential operator
nonlinear strong maximum principle
constant sign solutions
nodal solutions
mountain pass theorem
second deformation theorem
We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator, which includes as a particular case the scalar p-Laplacian. We assume that the reaction is a Carathéodory function which admits time-dependent zeros of constant sign. No growth control near ±∞ is imposed on the reaction. Using variational methods coupled with suitable truncation and comparison techniques, we prove two multiplicity theorems providing sign information for all the solutions.
dc.abstract.en | We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator, which includes as a particular case the scalar p-Laplacian. We assume that the reaction is a Carathéodory function which admits time-dependent zeros of constant sign. No growth control near ±∞ is imposed on the reaction. Using variational methods coupled with suitable truncation and comparison techniques, we prove two multiplicity theorems providing sign information for all the solutions. | pl |
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 | 2016-03-16T07:03:11Z | |
dc.date.available | 2016-03-16T07:03:11Z | |
dc.date.issued | 2015 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 3 | pl |
dc.description.physical | 423-441 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 21 | pl |
dc.identifier.doi | 10.1007/s10883-014-9245-4 | pl |
dc.identifier.eissn | 1573-8698 | pl |
dc.identifier.issn | 1079-2724 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/22431 | |
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 | inne | |
dc.subject.en | nonhomogeneous differential operator | pl |
dc.subject.en | nonlinear strong maximum principle | pl |
dc.subject.en | constant sign solutions | pl |
dc.subject.en | nodal solutions | pl |
dc.subject.en | mountain pass theorem | pl |
dc.subject.en | second deformation theorem | pl |
dc.subtype | Article | pl |
dc.title | Nonlinear, nonhomogeneous periodic problems with no growth control on the reaction | pl |
dc.title.journal | Journal of Dynamical and Control Systems | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |