Existence of solutions to three-point boundary value problem for one-dimensionalp-Laplacian
β Scribed by Huixing Zhang; Wenbin Liu; Jianjun Zhang; Taiyong Chen
- Book ID
- 107619829
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 311 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
The singularity may appear at u s 0 and at t s 0 or t s 1 and the function f may be discontinuous. The authors prove that for any p ) 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the abovementioned problem has a unique sol
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€