EXISTENCE AND MULTIPLICITY OF POSITIVE WEAK SOLUTIONS FOR A NEW CLASS OF (P; Q)-LAPLACIAN SYSTEMS.

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 γ(0),g(0), f(0) and h(0). Moreover, a multiplicity result is obtained when γ(0) = g(0) = f(0) = h(0) = 0: Finally, we give some examples to verify our main results. [ABSTRACT FROM AUTHOR]