Multiple Positive Solutions for One-dimensional P-Laplacian Boundary Value ProblemsApplied Mathematics Letters
AbstractBy means of the Leggett-Williams fixed-point theorem, criteria are developed for the existence of at least three positive solutions to the one-dimensional p-Laplacian boundary value problem, (ϕ(y′))′ + g(t)f(t,y) = 0, y(0) - B0(y′(0)) = 0, y(1) + B1(y′(1)) = 0, where ϕ(v) ≔ |v|p−2v, p > 1.
Department(s)Mathematics and Statistics
Keywords and Phrases
- positive solutions,
- p-Laplacian operator,
- Laggett-Williams fixed-point theorem
Document TypeArticle - Journal
Rights© 2002 Elsevier, All rights reserved.
Citation InformationXiaoming He, Weigao Ge and Mingshu Peng. "Multiple Positive Solutions for One-dimensional P-Laplacian Boundary Value Problems" Applied Mathematics Letters (2002)
Available at: http://works.bepress.com/xiaoming-he/37/