Existence of infinitely many solutions for elliptic problems with critical exponent

This paper is concerned with the following nonlinear Dirichlet problem: -Delta(p)u =\u\(p*-2)u + lambdaf(x,u) x is an element of Omega, u = 0 x is an element of partial derivativeOmega, where Delta(p)u = div(\delu\(p-2)delu) is the p-Laplacian of u, Omega is abounded domain in R-n(n greater than or equal to 3), 1<p<n, p* = (pn)/(n-p) is the critical exponent for the Sobolev imbedding, lambda > 0 and f (x, u) satisfies some conditions. It reaches the conclusion that this problem has infinitely many solutions. Some results as p = 2 or f(x, u) = \U\(q-2)u, where 1 < q < p, are generalized.