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中文摘要：
一类半线性椭圆方程组： {△u（x）＋f1（u（x））g1（v（x））=0 x∈Ω △v（x）＋f2（u（x））g2（v（x））=0 x∈Ω u（x）＋v（x）=0 x∈aΩ 其中，Ω R^N是关于0的星形区域f1、f2、g1、g2：R→R＋为非负函数．在一定条件下，它的非平凡解是不存在的．
英文摘要：
In this paper, we investigate the nonexistence of non - trivial solutions of a class of semilinear Elliptic systems ： {△u（x）＋f1（u（x））g1（v（x））=0 x∈Ω △v（x）＋f2（u（x））g2（v（x））=0 x∈Ω u（x）＋v（x）=0 x∈aΩ Here x∈Ω, Ω R^N is Star- shaped domain about zero, f1 f2 ,g1 ,g2 ：R→R^＋ ate nonnegative functions in R.
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