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Article
Twin Positive Solutions for the One-dimensional P-Laplacian Boundary Value Problems
Nonlinear Analysis: Theory, Methods and Applications
  • Xiaoming He, Missouri University of Science and Technology
  • Weigao Ge
Abstract
In this paper we study the existence of multiple positive solutions for the equation (g(u′))′+e(t)f(u)=0, where g(v)≔|v|pâˆ'2v,p>1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals fixed point theorem in cones.
Department(s)
Mathematics and Statistics
Keywords and Phrases
  • One-dimensional p-Laplacian,
  • Positive solutions,
  • Concavity,
  • fixed point theorem in cones
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2004 Elsevier, All rights reserved.
Publication Date
1-1-2004
Citation Information
Xiaoming He and Weigao Ge. "Twin Positive Solutions for the One-dimensional P-Laplacian Boundary Value Problems" Nonlinear Analysis: Theory, Methods and Applications (2004)
Available at: http://works.bepress.com/xiaoming-he/29/