We use variational methods to study the multiplicity of solutions for the following quasilinear partial differential equation {-△pu=μ|u|p*(s)-2u/|x|s+f(x,u),x∈Ω, u=0, x∈αΩ,where Ω is a bounded domain in RN with smooth boundary.The concentration compactness principle allows to prove that the Palais-Smale condition is satisfied below a certain level.%运用变分方法研究了下面问题{-△pu=μ|u|p*(s)-2u/|x|s+f(x,u),x∈Ω,u=0, x∈αΩ,多重解的存在性,其中Ω是一个具有光滑边界的有界区域.
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