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Infinitely many solutions for a class of systems of differential inclusions

Part of: Existence theories Equations and inequalities involving nonlinear operators

Published online by Cambridge University Press:  19 January 2011

Brigitte E. Breckner  and
Csaba Varga
Brigitte E. Breckner
Affiliation:
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 Mihail Kogălniceanu, 400084 Cluj-Napoca, Romania (breckner@gmx.net; varga-gy-csaba@yahoo.com)
Csaba Varga
Affiliation:
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 Mihail Kogălniceanu, 400084 Cluj-Napoca, Romania (breckner@gmx.net; varga-gy-csaba@yahoo.com)
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Abstract

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Using a non-smooth version (due to Marano and Motreanu) of a variational principle of Ricceri we prove the existence of infinitely many solutions for certain systems of differential inclusions with various types of boundary conditions.

Keywords

locally Lipschitz functiongeneralized directional derivativesystems of differential inclusionsSobolev spaces

MSC classification

Secondary: 47J20: Variational and other types of inequalities involving nonlinear operators (general) 49J52: Nonsmooth analysis
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 1 , February 2011 , pp. 9 - 23
Copyright
Copyright © Edinburgh Mathematical Society 2011

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