Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular (p,q)-Laplacian Operators

Abstract

We investigate in this work necessary and sufficient conditions for having the maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of R^{N}. Moreover, we prove the existence  of  positive weak solutions by the Browder theorem method for the considered system