Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth:−Δpu=|u|p⁎−2u+μ|u|p−2uin Ω,u=0on ∂Ω, provided N>p2+pN>p2+p, where ΔpΔp is the p  -Laplacian operator, 10μ>0 and Ω   is an open bounded domain in RNRN.