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

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

2010-12-27

arxiv.org/abs/1012.5611v1

Adv. Differential Equations 11 (2006), no. 12, 1375-1396

Mathematics

Analysis of PDEs

Scientific paper

We consider the problem {\Delta}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 ({\infty}) = 0. An existence theorem of one pair of solutions which
change sign exactly once is given.

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