Nonlinear periodic systems with the -Laplacian: existence and multiplicity results.
Papalini, Francesca (2007)
Abstract and Applied Analysis
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Papalini, Francesca (2007)
Abstract and Applied Analysis
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Frolova, E. (1999)
Portugaliae Mathematica
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Chiş, Adela (2007)
Fixed Point Theory and Applications [electronic only]
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Kunkel, Curtís (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)
Archivum Mathematicum
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In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the -norm in the set of solutions of the “convex” problem (relaxation theorem).
Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)
Archivum Mathematicum
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We consider first order periodic differential inclusions in . The presence of a subdifferential term incorporates in our framework differential variational inequalities in . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.