Pairs of positive solutions for the periodic scalar p-Laplacian
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We study a nonlinear periodic problem driven by the scalar p-Laplacian and having a nonsmooth potential (hemivariational inequality). Using a combination of variational techniques and degree-theoretic methods based on a degree map for certain multivalued perturbations of (S)+operators, we establish the existence of two positive solutions.
Mathematics Subject Classification (2000).Primary 34B15 Secondary 34C25, 49J53
Keywords.Scalar p-Laplacian (S)+ operator multifunction of type (P) degree map domain additivity excision property variational methods
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