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中文摘要：
研究了一类带变号扰动的半线性椭圆方程正解存在的必要条件，获得了对于合适的参数，如果半线性椭圆方程都存在满足一定条件的正解，那么，对应的线性方程存在非负解。
英文摘要：
Investigates the necessary existence condion of positive solutions for a class of semilinear elliptic equations with sign-changing perturbations. Obtains that for appropriate parameters, the corresponding linear equations exist a nonnegative solution if the semilinear elliptic equations possess positive solutions at certain conditions.
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