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CALOGERO VETRO

Existence of positive solutions for nonlinear dirichlet problems with gradient dependence and arbitrary growth

  • Autori: Papageorgiou, Nikolaos; Vetro, Calogero; Vetro, Francesca
  • Anno di pubblicazione: 2018
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: Convection reaction term; Hartman condition; Nonlinear maximum principle; Nonlinear regularity; Picone identity; Pseudomonotone map;
  • OA Link: http://hdl.handle.net/10447/289082

Abstract

We consider a nonlinear elliptic problem driven by the Dirichlet p-Laplacian and a reaction term which depends also on the gradient (convection). No growth condition is imposed on the reaction term f (z, ·, y). Using topological tools and the asymptotic analysis of a family of perturbed problems, we prove the existence of a positive smooth solution.