Positive solutions of a second-order singular ordinary differential equation
type: Item
instance of: scholarly article
title: Positive solutions of a second-order singular ordinary differential equation
zbMATH Open document ID: 1082.34019
author: Denis Bonheure
author: Luis Sanchez
author: José Maria Gomes
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-06-13T00:00:00Z
review text: The authors study the existence of positive solutions for the second-order differential equation \[ u''+k\frac{u'}{t}=c(t)g(u) \] with the initial condition \(u'(0)=0\), \(u(M)=0\) in a bounded interval \([0,M]\) and \(u'(0)=u(+\infty)=0\) in \([0,+\infty)\), respectively. The methods used in this paper are based on variational methods and many ideas of \textit{H. Berestycki} and \textit{P.-L. Lions} [Arch. Ration. Mech. Anal. 82, 313--345 (1983; Zbl 0533.35029)]. The paper is very interesting.
reviewed by: Yuji Liu
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 2175330
zbMATH Keywords: singular boundary value problem
zbMATH Keywords: radial solution
zbMATH Keywords: variational methods
Wikidata QID: Q115343327
MaRDI profile type: Publication
full work available at URL: j.na.2005.02.029
OpenAlex ID: W2091831083
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DOI: 10.1016/J.NA.2005.02.029
description: scientific article; zbMATH DE number 2175330