Positive solutions of a semilinear elliptic equation and its asymptotic behaviour
type: Item
instance of: scholarly article
title: Positive solutions of a semilinear elliptic equation and its asymptotic behaviour
zbMATH Open document ID: 0788.35044
author: Jianfu Yang
published in: Differential and Integral Equations
publication date: 1992-06-26T00:00:00Z
review text: The author establishes the existence of positive solutions for semilinear elliptic problems \[ -\Delta u=\lambda f(u-a) \text{ in } \mathbb{R}^ N,\;u(x) \to 0 \text{ and } | \nabla u(x) | \to 0 \text{ as } | x | \to \infty, \tag{P} \] where \(f\) is ``superlinear'' at infinity, \(\lambda\) and \(a\) are positive constants; moreover, we investigate the limiting behaviour of solutions of (P) as \(\lambda\) and \(a\) are taken as parameters.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 20231
zbMATH Keywords: existence of positive solutions
zbMATH Keywords: semilinear elliptic problems
zbMATH Keywords: limiting behaviour
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 20231