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CALOGERO VETRO

NONLINEAR ROBIN PROBLEMS WITH UNILATERAL CONSTRAINTS AND DEPENDENCE ON THE GRADIENT

  • Authors: Papageorgiou, Nikolaos S.; Vetro, Calogero*; Vetro, Francesca
  • Publication year: 2018
  • Type: Articolo in rivista (Articolo in rivista)
  • OA Link: http://hdl.handle.net/10447/339190

Abstract

We consider a nonlinear Robin problem driven by the p-Laplacian, with unilateral constraints and a reaction term depending also on the gradient (convection term). Using a topological approach based on fixed point theory (the Leray-Schauder alternative principle) and approximating the original problem using the Moreau-Yosida approximations of the subdifferential term, we prove the existence of a smooth solution.