Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0
arXiv:1012.5611
Abstract
We consider the problem Δu+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 ({\infty}) = 0. An existence theorem of one pair of solutions which change sign exactly once is given.