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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
Descripción
Sumario: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.