We prove the existence of at least one positive solution for a Schrodinger equation in R-N of type
-Delta u + V(x)u = f(x, u) in R-N
with a vanishing potential at infinity and subcritical nonlinearity f. Our hypotheses allow us to consider examples of nonlinearities which do not verify the Ambrosetti-Rabinowitz condition, neither monotonicity conditions for the function f (x, s)/s. Our argument requires new estimates in order to prove the boundedness of a Cerami sequence.
