Multiple positive solutions for one-dimensional p-Laplacian boundary value problems Original Research Article

By means of the Leggett-Williams fixed-point theorem, criteria are developed for the existence of at least three positive solutions to the one-dimensional p-Laplacian boundary value problem, (ϕ(y′))′ + g(t)f(t,y) = 0, y(0) - B0(y′(0)) = 0, y(1) + B1(y′(1)) = 0, where ϕ(v) ≔ |v|p−2v, p > 1.