Boundedness and differentiability for nonlinear elliptic systems

We consider the elliptic system div(A(j) (x, u, delu)) = B-j (x, u, delu), j = 1, ..., N, and an obstacle problem for a similar system of variational inequalities. The functions A(j) and B-j satisfy certain ellipticity and boundedness conditions with a p-admissible weight w and exponent 1 < p <less than or equal to> 2. The growth of B-j in \delu\ and \u\ is of order p - 1. We show that weak solutions of the above systems are locally bounded and differentiable almost everywhere in the classical sense.