English

Concentration on circles for nonlinear Schr\"odinger-Poisson systems with unbounded potentials vanishing at infinity

Analysis of PDEs 2010-09-15 v1

Abstract

The present paper is devoted to weighted Nonlinear Schr\"odinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the existence of solutions concentrating on a circle.

Keywords

Cite

@article{arxiv.1009.2595,
  title  = {Concentration on circles for nonlinear Schr\"odinger-Poisson systems with unbounded potentials vanishing at infinity},
  author = {Denis Bonheure and Jonathan Di Cosmo and Carlo Mercuri},
  journal= {arXiv preprint arXiv:1009.2595},
  year   = {2010}
}