Periodic solutions for second order differential inclusions with the scalar p-Laplacian

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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. © 2005 Elsevier Inc. All rights reserved.

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Aizicovici, S., Papageorgiou, N. S., & Staicu, V. (2006). Periodic solutions for second order differential inclusions with the scalar p-Laplacian. Journal of Mathematical Analysis and Applications, 322(2), 913–929. https://doi.org/10.1016/j.jmaa.2005.09.077

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