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We study nonlinear boundary value problems for systems driven by the vector p-Laplacian or p-Laplacian-like operators and having a maximal monotone term. We consider periodic problems and problems with nonlinear boundary conditions formulated in terms of maximal monotone operators. This way we achieve a unified treatment of the classical Dirichlet, Neumann and periodic problems. Our hypotheses permit the presence of Hartman and Nagumo-Hartman nonlinearities, partially extending this way some recent works of Mawhin and his coworkers. © Heldermann Verlag Berlin

Nonlinear Boundary Value Problems Involving the p-Laplacian and p-Laplacian-Like Operators