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Pairs of positive solutions for the periodic scalar p-Laplacian

  • Nikolaos S. PapageorgiouEmail author
  • Francesca Papalini
Article

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.

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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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  1. 1.Department of MathematicsNational Technical UniversityAthensGreece
  2. 2.Department of Mathematical SciencesPolytechnic University of MarcheAnconaItaly

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