Positive global solutions of a nonhomogeneous semilinear elliptic equation
type: Item
instance of: scholarly article
title: Positive global solutions of a nonhomogeneous semilinear elliptic equation
zbMATH Open document ID: 0662.35040
author: Henrik Egnell
author: Ingemar Kej
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1991-01-01T00:00:00Z
review text: We consider positive global solutions of the nonhomogeneous, semilinear, elliptic equation \(\Delta u+u^ 2+\theta \phi =0\) in \(R^ n\), where \(\phi\) is a given function and \(\theta\) a positive parameter. By using implicit function theory, variational analysis and a phase plane technique we investigate, under various assumptions on \(\phi\), the structure of the solution set \((\theta,u_{\theta})\).
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 4082087
zbMATH Keywords: positive
zbMATH Keywords: global solutions
zbMATH Keywords: semilinear
zbMATH Keywords: positive parameter
zbMATH Keywords: implicit function theory
zbMATH Keywords: variational analysis
zbMATH Keywords: phase plane technique
zbMATH Keywords: structure of the solution set
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4082087