THE DIRICHLET PROBLEMS FOR NONLINEAR ELLIPTIC SYSTEMS OF 2n ORDER COMPLEX EQUATIONS

In this paper, the Dirichlet boundary value problems for the 2n order nonlinear elliptic systems of sev-eral complex equations are considered,where z = x+iy, U = （U1（z）,...,Un（z））’, Qj = （Q m）n×n,Ajk= （A mk）n×n, A= （A1,...,An）’, Q m=Q m(z,U,U2,...,Uzn zn-1.Uz2n…Uzn+1 n+1,A mk =A k(z,U,U2z,...,Uzn n-1),Am=Am(z,U,Uz,...,Uzn n-1),j,k≥0,j+k≤2n-1, l,m=.1,2,...,n,Tj（z）=（T （z）,...,Tj（z））′D={|z|【1}, ={{|z| =1}is the boundary of D , γis the outer normal vector of . Suppse that （1） , （2） satisfy the condition C in D :（i） For arbitrary vector of real value functions with 2n - 1 order continuous partial derivative: U（z）