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

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

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 $f(z, \cdot,y)$. Using topological tools and the asymptotic analysis of a family of perturbed prob...

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Bibliographic Details
Main Authors: Nikolaos Papageorgiou, Calogero Vetro, Francesca Vetro
Format: Article
Language:English
Published: University of Szeged 2018-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
convection reaction term
nonlinear regularity
nonlinear maximum principle
pseudomonotone map
picone identity
hartman condition
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6310

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6310

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