Skip to main content
Article
Multiple Positive Solutions for One-dimensional P-Laplacian Boundary Value Problems
Applied Mathematics Letters
  • Xiaoming He, Missouri University of Science and Technology
  • Weigao Ge
  • Mingshu Peng
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.
Publication Date
1-1-2002
Citation Information
Xiaoming 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/