Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0
Analysis of PDEs
2010-12-30 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1012.5611,
title = {Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0},
author = {Marco G. Ghimenti and Anna Maria Micheletti},
journal= {arXiv preprint arXiv:1012.5611},
year = {2010}
}