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 Periodic solutions for second order differential inclusions with the scalar p-Laplacian
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5280

title: Periodic solutions for second order differential inclusions with the scalar p-Laplacian
authors: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
keywords: Multifunction
Scalar p-Laplacian
Carathéodory function
Leray-Schauder degree
Eigenvalues of p-Laplacian
Nonuniform nonresonance
Landesman–Lazer conditions
issue date: 2006
publisher: Elsevier
abstract: We study periodic problems driven by the scalar p-Laplacian with a multivalued right-hand side nonlinearity. We prove two existence theorems. In the first, we assume nonuniform nonresonance conditions between two successive eigenvalues of the negative p-Laplacian with periodic boundary conditions. In the second, we employ certain Landesman–Lazer type conditions. Our approach is based on degree theory.
URI: http://hdl.handle.net/10773/5280
ISSN: 0022-247X
source: Journal of Mathematical Analysis and Applications
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