An upper and lower solution theory for singular Emden-Fowler equations
type: Item
instance of: scholarly article
title: An upper and lower solution theory for singular Emden-Fowler equations
zbMATH Open document ID: 1011.34013
DOI: 10.1016/S1468-1218(01)00029-3
author: Ravi P. Agarwal
author: Donal O'Regan
author: V. Lakshmikantham
author: S. Leela
published in: Nonlinear Analysis. Real World Applications
publication date: 2002-08-25T00:00:00Z
review text: Results guaranteeing the existence of positive solutions to the Dirichlet boundary value problem \[ y''+ q(t) f(t,q)= 0,\quad 0< t< 1,\quad y(0)= 0= y(1),\tag{\(*\)} \] are obtained. Here, \(f: [0,1]\times (0,\infty)\to \mathbb{R}\) is continuous and may be singular at \(y= 0\), \(q\in C(0,1)\), \(q> 0\) on \((0,1)\) and \(\int^1_0 x(1- x)q(x) dx< \infty\). The upper and lower solutions technique is used. Similar results can be established if Sturm-Liouville boundary conditions are considered in \((*)\).
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1788074
zbMATH Keywords: Emden-Fowler equation
zbMATH Keywords: boundary value problem
zbMATH Keywords: singular
zbMATH Keywords: existence
zbMATH Keywords: upper and lower solution
reviewed by: Petio S. Kelevedjiev
MaRDI profile type: Publication
cites work: Positive solutions to superlinear singular boundary value problems
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description: scientific article; zbMATH DE number 1788074