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

Francesca Papalini

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

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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https://doi.org/10.1155/2007/80394

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:080394

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