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中文摘要：
研究了具Caffarelli-Kohn-Nirenberg不等式类型及Hardy位势的非线性椭圆问题，通过对参数的合理设定．利用临界点理论上的变分方法及山路引理，证明了该问题至少存在一个正解。
英文摘要：
In this paper,a nonlinear elliptic problem with the type of Caffarelli-Kohn-Nirenberg inequalities and Hardy potential will be studied. We will prove that the problem has at least a positive solution, by the Mountain Pass Theorem and the variational methods based on the critical point theory. Moreover,the parameters should be set reasonably.
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