Nonvariational elliptic systems
type: Item
instance of: scholarly article
title: Nonvariational elliptic systems
zbMATH Open document ID: 1162.35356
published in: Discrete and Continuous Dynamical Systems
publication date: 2002-06-06T00:00:00Z
review text: The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain. Under some natural conditions on \(f\) and \(g\) they provide existence of positive solutions of (1). To this end, they use fixed point arguments.
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1751479
zbMATH Keywords: sublinear and superlinear elliptic systems
zbMATH Keywords: positive solution
zbMATH Keywords: fixed-point argument
zbMATH Keywords: sublinear
zbMATH Keywords: superlinear
zbMATH Keywords: existence of positive solutions
author: Claudianor O. Alves
author: Djairo G. de Figueiredo
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: dcds.2002.8.289
OpenAlex ID: W1972934244
DOI: 10.3934/DCDS.2002.8.289
description: scientific article; zbMATH DE number 1751479