中文摘要：

研究了一类含有Hardy-Sobolev临界指标权函数的拟线性方程组,运用最佳Sobolev常数和Nehari流形等变分方法证明在一定条件下椭圆方程组正解的存在性以及多重性。

英文摘要：

This paper explored a class of quasilinear elliptic systems involving critical Hardy–Sobolev exponents and potentials.By using the extremals of the best Sobolev constants and extracting the Palais–Smale sequence in Nehari manifold,the existence and multiplicity of positive solutions to the systems were established.