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中文摘要：
研究了一类带有Hardy项和Sobolev—Hardy临界指数的椭圆方程{-△u-u＋h（x）/｜x｜2u=｜u｜2·（s）-2/｜x｜s u＋λ｜u｜q-2 u,x∈Ω; u=0,x∈ Ω。通过运用变分方法和精确估计得到了非平凡解u∈D 1，2（Ω）的存在性．其中：Ω R N（N≥3）是一个有界光滑区域，0∈Ω，λ〉0，u∈R，0≤s〈2．
英文摘要：
It was discussed a class of elliptic equations involving Hardy terms and Sobolev-Hardy critical exponents {-△u-u＋h（x）/｜x｜2u=｜u｜2·（s）-2/｜x｜s u＋λ｜u｜q-2 u,x∈Ω; u=0,x∈ Ω.The existence of nontrivial solutions was proved via variational methods and delicate estimates, where Ω R N（N≥3） was an bounded domain with smooth boundary and containing the origin 0,λ〉0,u∈R,0≤s〈2.
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