Positive Solutions of the One-Dimensional p-Laplacian with Nonlinearity Defined on a Finite Interval

We use the quadrature method to show the existence and multiplicity of positive solutions of the boundary value problems involving one-dimensional p-Laplacian u′t|p−2u′t′+λfut=0, t∈0,1, u(0)=u(1)=0, where p∈(1,2], λ∈(0,∞) is a parameter, f∈C1([0,r),[0,∞)) for some constant r>0, f(s)>0 in (0,r)...

Full description

Saved in:
Bibliographic Details
Main Authors: Ruyun Ma, Chunjie Xie, Abubaker Ahmed
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/492026
Tags: Add Tag
No Tags, Be the first to tag this record!