Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-LaplacianApplied Mathematics Letters
AbstractWe 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,
Document TypeArticle - Journal
Rights© 2004 Elsevier, All rights reserved.
Citation InformationXiaoming He. "Double Positive Solutions of a Three-point Boundary Value Problem for the One-dimensional P-Laplacian" Applied Mathematics Letters (2004)
Available at: http://works.bepress.com/xiaoming-he/24/