Positive solutions for a system of fourth-order \(p\)-Laplacian boundary value problems
type: Item
instance of: scholarly article
title: Positive solutions for a system of fourth-order \(p\)-Laplacian boundary value problems
zbMATH Open document ID: 1302.34044
DOI: 10.1155/2013/915209
author: Lianlong Sun
author: Zhilin Yang
published in: Chinese Journal of Mathematics
publication date: 2014-10-16T00:00:00Z
review text: Summary: We investigate the existence of positive solutions for the system of fourth-order \(p\)-Laplacian boundary value problems \[ (|u''|^{p-1} u'')''= f_1(t,u,v),\;(|v''|^{q-1} v'')''= f_2(t,u,v), \] \[ u^{(2i)}(0)= u^{(2i)}(1)= 0,\;i=0,1,\;v^{(2i)}(0)= v^{(2i)}(1)= 0,\;i= 0,1, \] where \(p,q> 0\) and \(f_1,f_2\in C([0,1]\times \mathbb{R}^2_+ \mathbb{R}_+)\) \((\mathbb{R}_+:= [0,\infty))\). Based on a priori estimates achieved by using Jensen's integral inequalities and nonnegative matrices, we use fixed point theory to establish our main results.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6356632
zbMATH Keywords: a priori estimates
zbMATH Keywords: fixed point index theory
Wikidata QID: Q58920763
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/915209
OpenAlex ID: W2061984226
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description: scientific article; zbMATH DE number 6356632