Title

Twin Positive Solutions for the One-dimensional P-Laplacian Boundary Value Problems

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.


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