An existence result on positive solutions for a class of p-Laplacian systems Original Research Article

Consider the system View the MathML source where Δpz=div(|∇z|p−2∇z),p>1, λ is a positive parameter, and Ω is a bounded domain in RN with smooth boundary ∂Ω. We prove the existence of a large positive solution for λ large when View the MathML source for every M>0. In particular, we do not assume any sign conditions on f(0) or g(0).