Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V (∞) = 0
Abstract
We consider the problem u+V(x)u = f'(u) in RN. Here the nonlinearity has a double power behavior and V is invariant under an orthogonal involution, with V (∞) = 0. An existence theorem of one pair of solutions which change sign exactly once is given.
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