Title
Multiple positive solutions for the one-dimensional singular p-Laplacian
Abstract
We consider the following boundary value problem: (φp(y'))' + q(t)f(y) = 0, p 1, t ∈ [0, 1], with y(0) =y(1) = 0, or y(0) =y'(1) = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. An example is also included to illustrate the importance of the result obtained.
Year
DOI
Venue
2002
10.1016/S0096-3003(01)00240-5
Applied Mathematics and Computation
Keywords
Field
DocType
Multiple positive solutions,Boundary value problems
Boundary value problem,Mathematical analysis,Banach space,Operator (computer programming),Partial differential equation,Fixed-point theorem,Mathematics,Laplace operator,p-Laplacian
Journal
Volume
Issue
ISSN
133
2-3
0096-3003
Citations 
PageRank 
References 
6
0.97
0
Authors
3
Name
Order
Citations
PageRank
Haishen Lü1246.63
Donal O'Regan216346.52
Chengkui Zhong3338.44