Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity

Details Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity

2010-09-14

arxiv.org/abs/1009.2595v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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