In this paper, we consider the following problem {-△u=uN+2/N-2+εf(x)u,x∈(R)N,u∈D1,2((R)N),u(x)→0,|x|→∞, where ∈ is a positive constant,f(x)∈L∞(RN),Used perturbation method, we provethat under some conditions on f(x), there exists a ε0 0〈ε〈ε0,such that there are manysolutions for above...