  We deal with the existence of infinitely many solutions for a class of
elliptic problems with non-symmetric nonlinearities. Our result, which is
motivated by a well known conjecture formulated by A. Bahri and P.L. Lions,
suggests a new approach to tackle these problems. The proof is based on a
method which does not require to use techniques of deformation from the
symmetry and may be applied to more general non-symmetric problems.
