Title

Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-Laplacian

Abstract

We study the existence of positive solutions for the equation (φp(u′))′ + e(t) ƒ (u) = 0, where, φp(υ) ≔ |υ|p−2υ, p > 1, subject to nonlinear three-point boundary conditions. We show the existence of at least two positive solutions by using a three-functionals fixed-point theorem in a cone.

Department(s)

Mathematics and Statistics

Keywords and Phrases

P-Laplacian operator; positive solution; fixed points; cone

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Elsevier, All rights reserved.


Share

 
COinS