Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
zbMATH Open document ID: 1028.34022
DOI: 10.1016/S0022-247X(02)00308-6
author: Johnny Henderson
author: Richard I. Avery
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-04-28T00:00:00Z
review text: The five functionals fixed-point theorem due to \textit{R. I. Avery} [Math. Sci. Res. Hot-Line 3, 9-14 (1999; Zbl 0965.47038)] is applied to obtain the existence of three positive pseudo-symmetric solutions to the three-point boundary value problem for a one-dimensional \(p\)-Laplacian \[ (|u'|^{p-2}u')' + a(t)f(u) = 0, \quad u(0)=0,\;u(\theta) = u(1), \] with \(\theta \in (0,1)\).
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 1901843
zbMATH Keywords: p-Laplacian
zbMATH Keywords: boundary value problems
reviewed by: Marlène Frigon
MaRDI profile type: Publication
cites work: Q4253594
cites work: Q4494976
cites work: Three symmetric positive solutions for a second-order boundary value problem
cites work: Q5185568
cites work: Q3994493
cites work: Multiple symmetric positive solutions for a second order boundary value problem
cites work: Q3854213
cites work: Q4271322
full work available at URL: s0022-247x(02)00308-6
OpenAlex ID: W2051560083
description: scientific article; zbMATH DE number 1901843