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We consider the problem {\Delta}u+V(x)u = f'(u) in RN. Here the nonlinearityhas a double power behavior and V is invariant under an orthogonal involution,with V ({\infty}) = 0. An existence theorem of one pair of solutions whichchange sign exactly once is given.

Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0