In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian ฯ p (u (t)) + q(t) f t, u(t), u (t) = 0, t โ (0, 1), subject to the boundary conditions: Applying the fixed point theorem due to Avery and Peterson, we study the existence of at least three symmetric po
Triple positive solutions for a multi-point boundary value problem with a one-dimensional -Laplacian
โ Scribed by Youyu Wang; Meng Zhao; Yinping Hu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 310 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, we consider the multiplicity of positive solutions for a one-dimensional p-Laplacian differential equation with Sturm-Liouville-like boundary conditions. By means of a fixed point theorem for cones in Banach spaces, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problems.
๐ SIMILAR VOLUMES
This paper deals with the existence of multiple positive solutions for the quasilinear second-order differential equation subject to one of the following boundary conditions: Using the five functionals fixed point theorem, we provide sufficient conditions for the existence of multiple (at least th