    We consider about the existence of infinitely many solutions for-\Delta u + V(x) u = f(u) in R^N, u \in H^1(\R^N).
    Here, when |x| goes to infinity, V(x) approaches to a positive constantand V(x) satisfies some conditions.
    We require conditions on f (u) only around 0 and at infinity.
    This is a joint work with Masataka Sibata (Tokyo Institute of Technology).

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