A Remark on Some Three-Point Boundary Value Problems for the One-Dimensional p-Laplacian
H. Weigao, G. Xiaoming · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2002
We establish existence criteria for multiple (at least three) positive solutions to the three-point boundary value problem (g(u′))′ + a(t) f(u) = 0, u(0) = 0 u(η) = u(1), where g(v) ≔ |v|p–2 v, p > 1, and η ∈ (0, 1) is prescribed. The results improve and extend earlier results due to Wang Junyu and Zheng Dawei [1] by an application of the Leggett-Williams fixed point theorem in a cone.