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Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction

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 th...

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Detalles Bibliográficos
Autores principales: Gasiński, Leszek, Papageorgiou, Nikolaos S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4699758/
https://www.ncbi.nlm.nih.gov/pubmed/26752943
http://dx.doi.org/10.1007/s10883-014-9245-4
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author Gasiński, Leszek
Papageorgiou, Nikolaos S.
author_facet Gasiński, Leszek
Papageorgiou, Nikolaos S.
author_sort Gasiński, Leszek
collection PubMed
description 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.
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spelling pubmed-46997582016-01-08 Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction Gasiński, Leszek Papageorgiou, Nikolaos S. J Dyn Control Syst Article 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. Springer US 2014-08-30 2015 /pmc/articles/PMC4699758/ /pubmed/26752943 http://dx.doi.org/10.1007/s10883-014-9245-4 Text en © The Author(s) 2014 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
spellingShingle Article
Gasiński, Leszek
Papageorgiou, Nikolaos S.
Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction
title Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction
title_full Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction
title_fullStr Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction
title_full_unstemmed Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction
title_short Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction
title_sort nonlinear, nonhomogeneous periodic problems with no growth control on the reaction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4699758/
https://www.ncbi.nlm.nih.gov/pubmed/26752943
http://dx.doi.org/10.1007/s10883-014-9245-4
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