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arXiv · 1012.5611

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

Marco G. Ghimenti·Anna Maria Micheletti
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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.

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Marco G. Ghimenti, Anna Maria Micheletti. 2010-12-27. Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0. https://arxiv.org/abs/1012.5611

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