In this paper, we will prove the existence of infinitely many solutions for the following elliptic problem
with critical Sobolev growth:
− pu = |u|p∗−2u+μ|u|p−2u in Ω, u =0 on∂Ω,
providedN >p2 + p, where p is the p-Laplacian operator, 1
0 and Ω is an
open bounded domain in RN.
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