Global integrability for solutions to quasilinear elliptic systems with degenerate coercivity

This paper deals with global integrability for solutions to quasilinear elliptic systems involving N equations of the form {- Sigma(n)(i=1) D-i.. (Sigma(N)(beta=1)Sigma(n)(j=1) alpha(i,j) (alpha,beta) (x, u(x))D(j)u(beta)(x)) = f(alpha)(x). in Omega. u(x) = 0, on partial derivative Omega, where Omega is an open bounded subset of R-n, n > 2, u = (u(1), u(2), ..., u(N)) : Omega subset of R-n -> R-N, N >= 2. Under degenerate coercivity condition of the diagonal coefficients and proportional condition of the off-diagonal coefficients, we obtain some global integrability results.