Positive solutions for third-order Sturm–Liouville boundary value problems with -Laplacian
✍ Scribed by Chen Yang; Jurang Yan
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 561 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, by using the fixed point index method, we establish the existence of at least one or at least two positive solutions for the third-order Sturm-Liouville boundary value problem with p-Laplacian
where φ p (s) = |s| p-2 s, p > 1. As an application, an example is given to demonstrate the main result.
📜 SIMILAR VOLUMES
This paper is concerned with the property of the positive solutions for Sturm-Liouville singular boundary value problems with the linear conditions. We obtain a relation between the solutions and Green's function. It implies a necessary condition for the C 1 [0, 1] positive solutions. We apply the r
This paper proves the existence, multiplicity, and nonexistence of symmetric positive solutions to nonlinear boundary value problems with Laplacian operator. We improve and generalize some relative results. Our analysis mainly relies on the fixed point theorem of cone expansion and compression of no