In this paper ,we investitigate the solvability of semilinear elliptic equations with boundary value by using the sub - super solution method and the fixed point theorem. Also, we prove the uniqueness of solutions. As the application of the theorem an example is given.%利用上、下解方法及不动点理论研究了一类半线性椭圆方程边值问题正解的存在性，并证明了解的唯一性，作为定理的应用，最后给出了一个例子。
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