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2006 Degree theoretic methods in the study of nonlinear periodic problems with nonsmooth potentials
Ravi P. Agarwal, Michael E. Filippakis, Donal O'Regan, Nikolaos S. Papageorgiou
Differential Integral Equations 19(3): 279-296 (2006).

Abstract

In this paper we study periodic problems driven by the scalar ordinary $p$-Laplacian and with a nonsmooth potential. Using degree theoretic methods based on a fixed-point index for nonconvex-valued multifunctions, we prove two existence theorems. In the first we employ nonuniform nonresonance conditions between two successive eigenvalues of the negative $p$-Laplacian with periodic boundary conditions. In the second we use Landesman-Lazer conditions.

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Ravi P. Agarwal. Michael E. Filippakis. Donal O'Regan. Nikolaos S. Papageorgiou. "Degree theoretic methods in the study of nonlinear periodic problems with nonsmooth potentials." Differential Integral Equations 19 (3) 279 - 296, 2006.

Information

Published: 2006
First available in Project Euclid: 21 December 2012

zbMATH: 1212.34036
MathSciNet: MR2215559

Subjects:
Primary: 34A60
Secondary: 34B15 , 34B18

Rights: Copyright © 2006 Khayyam Publishing, Inc.

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Vol.19 • No. 3 • 2006
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