In this paper, we study the following Kirchhoff type problem with critical growth {-M (integral(Omega)vertical bar del u vertical bar(2)dx) Delta u = lambda vertical bar u vertical bar(2)u + vertical bar u vertical bar(4)u in Omega, u = 0, on partial derivative Omega, where Omega is a smooth bounded domain in R-3, M is an element of C(R+, R) and lambda > 0. We prove the existence of multiple nontrivial solutions for the above problem, when parameter lambda belongs to some left neighborhood of the eigenvalue of the nonlinear operator -M(integral(Omega) vertical bar del u...
