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.