本文利用隐函数定理，证明了一类非线性项符号发生改变的半线性椭圆方程边值问题解的存在性，研究了解的非负性及唯一性，最后给出了一个例子说明其实现的应用。%The existence for a semilinear elliptic equation boundary value problem with sign changing nonllinearity is proved by using the implicit function theorem , and the nonnegativity and uniqueness of solutions are researched. As the application of the- orem an example is given.
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