We revisit the following nonlinear critical elliptic equation -Delta u +V (vertical bar y'vertical bar,y '')u =u(N+2 /N-2), u > 0, u is an element of H-1(R-N), where (y', y '') is an element of R-3 x RN-3, V (vertical bar y vertical bar, y '') is a bounded non-negative function in R+ x RN-3. Assuming that r(2)V (r, y '')has a stable critical point (r(0), y(0)'') with r(0) > 0 and V (r(0), y(0)'') > 0, by using a modified finitedimensional reduction method and various local Pohozaev identities, we prove that the problem above has multi-piece of bubble solutions, whose energy can be made arbitra...
