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We consider a nonlinear Neumann eigenvalue problem driven by the p-Laplacian and with a (p-1)-sublinear reaction. Using variational methods together with suitable truncation techniques, we prove a bifurcation-type theorem for the eigenvalue problem. Namely, we show that there is a critical parameter value λ* > 0 such that for all λ > λ* the problem has at least two positive solutions, for λ= λ* there is at least one positive solution and for λ ∈ (0; λ*) no positive solutions exist

A Bifurcation-Type Result for Nonlinear Neumann Eigenvalue Problems