Structure of positive radial solutions including singular solutions to Matukuma's equation
type: Item
instance of: scholarly article
title: Structure of positive radial solutions including singular solutions to Matukuma's equation
zbMATH Open document ID: 1125.35040
author: Hiroshi Morishita
author: Eiji Yanagida
author: Shoji Yotsutani
published in: Communications on Pure and Applied Analysis
publication date: 2006-01-23T00:00:00Z
review text: The authors study radial solutions of the semilinear equation \[ \Delta u + \frac{1}{1+ | x | ^2}(u^+)^p=0 \text{ on } \mathbb{R}^3 \setminus \{ (0,0,0) \} \] with \(0<p<5\), using a careful study of the corresponding scalar equation. They obtain information about the asymptotic behaviour of the solution when \(x\) is near \((0,0,0)\) and when \(| x | \rightarrow \infty\). Also they derive information about the changes of sign.
reviewed by: Juan Campos
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 34B40
zbMATH DE Number: 5000548
zbMATH Keywords: Matukuma equation
zbMATH Keywords: Entire radial solution
zbMATH Keywords: Singular solutions
MaRDI profile type: Publication
full work available at URL: cpaa.2005.4.871
OpenAlex ID: W1983884248
DOI: 10.3934/CPAA.2005.4.871
description: scientific article; zbMATH DE number 5000548