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Multiple positive solutions for one-dimensional p-Laplacian boundary value problems |
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| Authors: | Xiaoming He Weigao Ge |
| Affiliation: | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China Department of Mathematics, Beijing Normal University, Beijing 100875, P.R. China |
| Abstract: | 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, ((y′))′ + g(t)f(t,y) = 0, y(0) - B0(y′(0)) = 0, y(1) + B1(y′(1)) = 0, where (v) |v|p−2v, p > 1. |
| Keywords: | Positive solutions Concavity p-Laplacian operator Leggett-Williams fixed-point theorem |
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