Nonzero positive weak solutions of systems of p-Laplace equations

We obtain new results on the existence of nonzero positive weak solutions of systems of p-Laplace equations under some sublinear conditions. These sublinear conditions employ the principal eigenvalues of the corresponding homogeneous Dirichlet boundary value problems involving p-Laplacian operators. Our results generalize and improve some previous results on the existence of nonzero positive solutions of systems of Laplace equations and on some eigenvalue problems of systems of p-Laplace equations. Applications of our results are given to systems of p-Laplace equations with specific nonlinearities.