Abstract. 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.

Pairs of positive solutions for the periodic scalar p-Laplacian / Papageorgiou, N. S.; Papalini, Francesca. - In: JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS. - ISSN 1661-7738. - 5:(2009), pp. 157-184.

Pairs of positive solutions for the periodic scalar p-Laplacian

PAPALINI, Francesca
2009-01-01

Abstract

Abstract. 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.
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/29427
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