Existence of positive solutions for \(p\)-Laplacian singular boundary value problems
type: Item
instance of: scholarly article
title: Existence of positive solutions for \(p\)-Laplacian singular boundary value problems
zbMATH Open document ID: 1027.34030
author: Cuizhe Li
author: Weigao Ge
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2004-01-14T00:00:00Z
review text: The authors consider the following \(p\)-Laplacian singular boundary value problem \[ (\phi_p(u'))'+ q(t) f(t,u,u')= 0,\qquad 0< t< 1,\qquad u(0)= u'(1)= 0, \] where \(\phi_p(u)=|u|^{p- 2}u\), \(p> 1\), and the function \(f\) may be singular at (i) \(u'=0\) but not \(u= 0\), (ii) \(u= 0\) and \(u'= 0\). By using Leray-Schauder degree theory, positive solutions are established.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 1890870
zbMATH Keywords: singular boundary value problem
zbMATH Keywords: Leray-Schauder degree
zbMATH Keywords: \(p\)-Laplacian
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1890870