Nonlinear Periodic Systems with the p -Laplacian: Existence and Multiplicity Results

Francesca Papalini

Abstract and Applied Analysis, 2007, vol. 2007, 1-23

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).

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:080394

DOI: 10.1155/2007/80394

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