Twin Positive Solutions for the One-dimensional P-Laplacian Boundary Value ProblemsNonlinear Analysis: Theory, Methods and Applications
AbstractIn this paper we study the existence of multiple positive solutions for the equation (g(uâ€²))â€²+e(t)f(u)=0, where g(v)â‰”|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,
- fixed point theorem in cones
Document TypeArticle - Journal
Rights© 2004 Elsevier, All rights reserved.
Citation InformationXiaoming 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/