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

Francesca Vetro, Calogero Vetro, Nikolaos S. Papageorgiou

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3 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)1-9
Numero di pagine9
RivistaELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Volume2018
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

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