Abstract
The paper is concerned with the existence of positive weak solutions for a new class of (p, q)-Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for gamma(0) ,g(0),f(0) and h(0). Moreover, a multiplicity result is obtained when gamma(0) = g (0) = f (0) = h (0) = 0. Finally, we give some examples to verify our main results.