English

Existence in the nonlinear Schr\"odinger equation with bounded magnetic field

Analysis of PDEs 2021-11-11 v1

Abstract

The paper studies existence of ground states for the nonlinear Schr\"odinger equation with a general external magnetic field. In particular, no lattice periodicity or symmetry of the magnetic field, or presence of external electric field is required.

Keywords

Cite

@article{arxiv.2111.05362,
  title  = {Existence in the nonlinear Schr\"odinger equation with bounded magnetic field},
  author = {Ian Schindler and Cyril Tintarev},
  journal= {arXiv preprint arXiv:2111.05362},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1911.01657