Positive solutions of an elliptic system depending on two parameters.
type: Item
instance of: scholarly article
title: Positive solutions of an elliptic system depending on two parameters.
zbMATH Open document ID: 1212.35032
published in: Differential and Integral Equations
publication date: 2010-06-15T00:00:00Z
review text: The Dirichlet problem associated to a \(2\mathrel \times 2\) semilinear elliptic system of equations in a bounded domain of \(\mathbb R^n\) is considered. This system depends on two parameters \((\eta ,\mu)\) and the nonlinear terms are of power type. The existence of solutions for such a problem in the plane \((\eta ,\mu)\) is discussed. The results are natural extensions of those obtained for the corresponding nonlinear eigenvalue problem for elliptic scalar equations.
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 5720805
zbMATH Keywords: elliptic system
zbMATH Keywords: parameter dependence
zbMATH Keywords: nonlinearities
author: Flávio Dickstein
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5720805