A numerical algorithm for finding solutions of p-Laplacian Dirichlet problems

In this paper we investigate numerically positive solution of the equation −Δpu = ∣u∣r−2u + λg(u) with Dirichlet boundary condition in a boundary domain Ω for λ > 0 and 1 < p < r. We will show that in which range of λ, this problem achieves a numerical solution.