Positive solutions for singular elliptic systems with convection term
type: Item
instance of: scholarly article
title: Positive solutions for singular elliptic systems with convection term
zbMATH Open document ID: 1382.35115
author: Abdelkrim Moussaoui
author: Dumitru Motreanu
author: Zhitao Zhang
published in: Journal of Fixed Point Theory and Applications
publication date: 2017-12-22T00:00:00Z
review text: This paper is concerned with the existence and regularity of solutions of a class of quasilinear elliptic systems with Dirichlet boundary condition. A feature of this paper is the presence of convection (gradient) terms. The main result establishes a sufficient condition for the existence of positive Hölder solutions. The proof combines comparison principles and \textit{a priori} estimates. A key role is to identify the appropriate set where the Schauder fixed point theorem can be applied. The main concern in determining this set is to take into account the behavior of the gradient up to the boundary of the domain. The arguments are very clear and seem to be applicable to other classes of nonlinear elliptic systems.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J58
zbMATH DE Number: 6821169
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: quasilinear elliptic system
zbMATH Keywords: Dirichlet boundary condition
MaRDI profile type: Publication
full work available at URL: s11784-017-0407-3
OpenAlex ID: W2580657452
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DOI: 10.1007/S11784-017-0407-3
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description: scientific article; zbMATH DE number 6821169