Asymptotic behavior of nonlinear elliptic systems on varying domains

We consider a monotone operator of the form Au = D div(a(x; Du)), with Omeg a subset of or equal to R-n and a : Omega x M-MxN --> M-MxN, acting on W-0( 1,p) (Omega; R-M). For every sequence (Omega(h)) of open subsets of Omega a nd for every f is an element of W--1,W-p' (Omega; R-M), 1/p+1/p' = 1, we st udy the asymptotic behavior, as h --> + infinity, of the solutions u(h) is an element of W-0(1) (Omega(h); R-M) of the systems Au-h = f in W-+1,W-p' ( Omega(h); R-M), and we determine the general form of the limit problem.