Quasilinear elliptic problems with critical exponents and Hardy terms

Let Ω∋0 be an open bounded domain, Ω⊂RN(N>p2). We are concerned with the multiplicity of positive solutions of -Δpu-μ|u|p-2u|x|p=λ|u|p-2u+Q(x)|u|p*-2u,u∈W01,p(Ω),where -Δpu=-div(|∇u|p-2∇u),10and Q(x) is a nonnegative function on Ω¯. By investigating the effect of the coefficient of the critical nonlinearity, we, by means of variational method, prove the existence of multiple positive solutions.