The Dirichlet problem of higher order quasilinear elliptic equation

The paper is concerned with the Dirichlet problem of higher order quasilinear elliptic equation:{∑|α|⩽m(−1)|α|DαAα(x,ξm(u))=G+f(x,u),x∈Ω,Dβu=0,x∈∂Ω,∀|β|⩽m−1, where Ω⊂RN is a bounded domain, 1