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

Papalini, Francesca
January 2007
Abstract & Applied Analysis;2007, p1
Academic Journal
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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