Blow-up rate of the unique solution for a class of one-dimensional \(p\)-Laplacian equations
type: Item
instance of: scholarly article
title: Blow-up rate of the unique solution for a class of one-dimensional \(p\)-Laplacian equations
zbMATH Open document ID: 1266.34053
author: Ling Mi
author: Yanfeng Qi
author: Bin Liu
published in: Nonlinear Analysis. Real World Applications
publication date: 2012-12-28T00:00:00Z
review text: The exact blow-up rate of the unique solution of the singular boundary value problem \[ \begin{aligned} (|u'|^{p-2}u')'=b(t)f(u),\;u(t)>0,& \quad t>0, \\ u(0)=\infty, \quad u(\infty)=0,& \end{aligned} \] is obtained, where \(1<p \leq 2\), \(b \in C^1(0,\infty)\) is positive and nondecreasing on \((0,\infty)\), \(f \in C^1[0,\infty)\), \(f(0)=0\), \(f(u)/u\) is increasing on \((0,\infty)\).
reviewed by: Satoshi Tanaka
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B40
zbMATH DE Number: 6118814
zbMATH Keywords: one-dimensional problems
zbMATH Keywords: uniqueness of the solution
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: blow-up rate
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2012.03.015
OpenAlex ID: W1976294123
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DOI: 10.1016/J.NONRWA.2012.03.015
description: scientific article; zbMATH DE number 6118814