English

On a stationary Schr{\"o}dinger equation with periodic magnetic potential

Analysis of PDEs 2021-06-03 v2

Abstract

We prove existence results for a stationary Schr{\"o}dinger equation with periodic magnetic potential satisfying a local integrability condition on the whole space using a critical value function.

Keywords

Cite

@article{arxiv.2103.10735,
  title  = {On a stationary Schr{\"o}dinger equation with periodic magnetic potential},
  author = {Pascal Bégout and Ian Schindler},
  journal= {arXiv preprint arXiv:2103.10735},
  year   = {2021}
}