Abstract: This
study concerns the existence of positive weak solutions for thep-Laplacian systems
where W is bounded domain in with boundary is s-Laplacian
operator, l, m,are positive parameters, are
increasing and homomorphism functions and the weight functionssatisfyandforA critical exponent is obtained for the existence of
positive weak solution by applying the method of sub-super solutions.
Keywords and phrases: p-Laplacian systems, positive weak solutions, method of sub-super solutions.