Title

Multiple Positive Solutions for One-dimensional P-Laplacian Boundary Value Problems

Abstract

By 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; concavity; p-Laplacian operator; Laggett-Williams fixed-point theorem

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Elsevier, All rights reserved.

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