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Two nontrivial solutions for quasilinear periodic equations

Authors: Evgenia H. Papageorgiou and Nikolaos S. Papageorgiou
Journal: Proc. Amer. Math. Soc. 132 (2004), 429-434
MSC (2000): Primary 34B15, 34C25
Published electronically: June 17, 2003
MathSciNet review: 2022365
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we study a nonlinear periodic problem driven by the ordinary scalar p-Laplacian and with a Carathéodory nonlinearity. We establish the existence of at least two nontrivial solutions. Our approach is variational based on the smooth critical point theory and using the ``Second Deformation Theorem".

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Additional Information

Evgenia H. Papageorgiou
Affiliation: Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece

Nikolaos S. Papageorgiou
Affiliation: Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece

Keywords: Ordinary p-Laplacian, critical point, Palais-Smale condition, second deformation theorem, strong deformation retract, strong resonance
Received by editor(s): May 29, 2002
Received by editor(s) in revised form: September 30, 2002
Published electronically: June 17, 2003
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2003 American Mathematical Society