Existence of positive solutions for m-Laplacian boundary value problems

Abstract Sufficient conditions for the existence of positive solutions of the nonlinear m-Laplacian boundary value problem are constructed, where m ≥ 2 and f : [0,1) × (0, ∞) → (0, ∞) satisfying f(t, u) is locally Lipschitz continuous for u ∈ (0, ∞), and f(t, u) u m−1 is strictly decreasing in u > 0 for each fixed t ∈ (0, 1).

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