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.

Papageorgiou, N., Vetro, C., Vetro, F. (2018). Existence of positive solutions for nonlinear dirichlet problems with gradient dependence and arbitrary growth. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018(18), 1-9 [10.14232/ejqtde.2018.1.18].

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

Vetro, Calogero
;
Vetro, Francesca
2018-01-01

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.
2018
Papageorgiou, N., Vetro, C., Vetro, F. (2018). Existence of positive solutions for nonlinear dirichlet problems with gradient dependence and arbitrary growth. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018(18), 1-9 [10.14232/ejqtde.2018.1.18].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/289082
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