In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian (Ο p (u )) + q(t) f (t, u(t), u (t)) = 0, t β (0, 1), subject to the boundary conditions: where Ο p (s) = |s| p-2 s, p > 1, ΞΎ i β (0, 1) with 0 < ΞΎ 1 < ΞΎ 2 < β’ β’ β’ < ΞΎ m-2 < 1 and a i β [0, 1), 0 β€
Positive solutions of singular three-point boundary value problems for the One-dimensional p-Laplacian
β Scribed by Bing Liu
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 560 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
We use the fixed-point index theory to establish the existence of at least one or two positive solutions for the singular three-point boundary value problems
and a(t) is allowed to have a singularity at the endpoints of (0, 1). Applications of our results are provided to yield positive radial solutions of some partial differential equations boundary value problems on an annulus. As an application, we also give some examples to demonstrate our results.
π SIMILAR VOLUMES
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| p-2 v; p ΒΏ 1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals ΓΏxed point theorem in cones
This paper investigates the following singular systems of nonlinear second-order three-point boundary value problems where Ξ· β (0, 1), 0 < Ξ±Ξ· < 1, f and g may be singular at t = 0 and/or t = 1. Under some weaker conditions the existence of positive solutions is obtained by applying the fixed point