In this paper, the Boundary value problems of semilinear elliptic system is discussed. According to nonlinear terms with sub-linear and super-linear in the infinity and zero point, the existence of solutions for two kinds of semi-linear elliptic systems have been proved by using the fixed point theorem.%利用不动点定理研究了椭圆型方程组边值问题的可解性，针对非线性项关于在无穷远处和零点处为次线性与超线性情形，讨论了一类半线性椭圆型方程组解的存在性。
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