Nonlinear Periodic Systems with thep-Laplacian: Existence and Multiplicity Results | Zendy

Francesca Papalini | Zendy

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Nonlinear Periodic Systems with thep-Laplacian: Existence and Multiplicity Results

Author(s) -

Francesca Papalini

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/80394

Subject(s) - mathematics , multiplicity (mathematics) , lipschitz continuity , nonlinear system , laplace operator , scalar (mathematics) , function (biology) , pure mathematics , mathematical analysis , geometry , physics , quantum mechanics , evolutionary biology , biology

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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