Multiple positive solutions for fourth-order three-point p-Laplacian boundary-value problems
Files
Date
2007-02-04
Authors
Feng, Hanying
Feng, Meiqiang
Jiang, Ming
Ge, Weigao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation
(φp(u″(t)))″ + α(t)ƒ(u(t)) = 0, t ∈ (0, 1),
subject to the nonlinear boundary conditions:
u(0) = ξu(1), u′(1) = ηu′(0),
(φp(u″(0))′ = α1(φp(u″(δ))′, u″(1) = p-1√β1u″(δ),
where φp(s) = |s|p-2s, p > 1. Using the five functional fixed point theorem due to Avery, we obtain sufficient conditions for the existence of at least three positive solutions.
Description
Keywords
Fourth-order boundary-value problem, One-dimensional p-Laplacian, Five functional fixed point theorem, Positive solution
Citation
Feng, H., Feng, M., Jiang, M., Ge, W. (2007). Multiple positive solutions for fourth-order three-point p-Laplacian boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(23), pp. 1-10.
Rights
Attribution 4.0 International