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2007 Nonlinear Periodic Systems with the p -Laplacian: Existence and Multiplicity Results
Francesca Papalini
Abstr. Appl. Anal. 2007: 1-23 (2007). DOI: 10.1155/2007/80394

Abstract

We study second-order nonlinear periodic systems driven by the vector p -Laplacian with a nonsmooth, locally Lipschitz potential function. Under minimal and natural hypotheses on the potential and using variational methods based on the nonsmooth critical point theory, we prove existence theorems and a multiplicity result. We conclude the paper with an existence theorem for the scalar problem, in which the energy functional is indefinite (unbounded from both above and below).

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Francesca Papalini. "Nonlinear Periodic Systems with the p -Laplacian: Existence and Multiplicity Results." Abstr. Appl. Anal. 2007 1 - 23, 2007. https://doi.org/10.1155/2007/80394

Information

Published: 2007
First available in Project Euclid: 5 July 2007

zbMATH: 1156.34011
MathSciNet: MR2320799
Digital Object Identifier: 10.1155/2007/80394

Rights: Copyright © 2007 Hindawi

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