Non-radial sign-changing solutions for the Schroedinger-Poisson problem in the semiclassical limit
Analysis of PDEs
2016-01-19 v2
Abstract
We study the existence of nonradial sign-changing solutions to the Schroedinger-Poisson system in dimension N>=3. We construct nonradial sign-changing multi-peak solutions whose peaks are displaced in suitable symmetric configurations and collapse to the same point. The proof is based on the Lyapunov-Schmidt reduction.
Keywords
Cite
@article{arxiv.1210.0728,
title = {Non-radial sign-changing solutions for the Schroedinger-Poisson problem in the semiclassical limit},
author = {Isabella Ianni and Giusi Vaira},
journal= {arXiv preprint arXiv:1210.0728},
year = {2016}
}