Upper and lower solutions method and a singular superlinear boundary value problem for the one-dimensional p-Laplacian
β Scribed by Daqing Jiang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 553 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this case, we say that a(*) is a lower solution for problem (2.1). The definition of an upper solution 13(*) for problem (2.1) is given in a completely similar way, just reversing the above
π SIMILAR VOLUMES
The singular boundary value problem is studied in this paper.The singularity may appear at t = 0 and the function g may be superlinear at u = β and change sign. The existence of solutions is obtained via an upper and lower solutions method.
theorems about the positive solution for the singular equation (qzp(gl))~ Γ· f(t, y) = 0, y(0) = y(1) = 0 are established. The results are obtained by using a fixed-point theorem in cones.