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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2018_EJQTDE_PapageorgiouVetroVetro.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Versione Editoriale
Dimensione
353.52 kB
Formato
Adobe PDF
|
353.52 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
