摘要
本文利用 Calerkin 方法和区域逼近的方法研究了无界域上拟线性椭圆型方程的边值问题■-D<sub>i</sub>α<sub>i</sub>（x,u,Du）+α<sub>0</sub>（x,u,Du）+p（u）=f-D<sub>i</sub>f<sub>i</sub>,x∈Ωu=0,x∈Ω弱解的存在性。
The existence of the weak solution for the Dirichlet problem of Elliptic equation with strong nonlinearity on unbounded domain is proved in this paper.
