REGULARITY FOR SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS

Let Omega be a domain of R-N, N > 2. We establish higher integrability for solutions u is an element of W-loc(1,p) (Omega) of nonlinear PDEs whose prototype is div[vertical bar del u vertical bar(p-2)del u+B(x)vertical bar u vertical bar(p-2)u] = div(vertical bar F vertical bar Fp-2) with 1 < p < N. We assume that the vector field B: Omega -> R-N belongs N to the Marcinkiewicz space L-N/p-1,L-infinity. We prove that F is an element of L-loc(T)(Omega, R-N) p < r < N, implies u is an element of L-loc(r) (Omega).