BOUNDARY VALUE PROBLEMS OF QUASILINEAR ELLIPTIC SYSTEM OF FIRST ORDER EQUATIONS IN SEVERAL BICYLINDER DOMAIN

Suppose D=D1x…x Dz,Dj={|zj|pj}, = x… , j={|tj|=pj},0【pj【∞, there is no harm in assuming pj=1, j=1,…,n.First we suppose that quasilinear elliptic system offirst order equationsWzj= Fj（z1,z2,…,zn,W）,（1）Fj=Aj（z2,…,zn,w）W + Bj（z1,…,z.,W）,satisfies the so-called Condition C in D, namely1. Aj,Bj（j=1…n） are continuously differentiable in D and W ∈C,and are analytic functions in |W|【R （unknown positive constant）.2. Aj, Bj and their mixed partial derivatives up to n-1 order （about different k, k≠j） are L, bound-ed, where the bound is L【∞.