English

Vortex ground states for Klein-Gordon-Maxwell-Proca type systems

Analysis of PDEs 2017-05-24 v1

Abstract

We look for three dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations. We prove the existence of three dimensional cylindrically symmetric vortex-solutions having a least possible energy among all symmetric solutions. Moreover we show that, if the Proca mass disappears, then the solutions tends to a solution of the Klein-Gordon-Maxwell system.

Keywords

Cite

@article{arxiv.1603.04649,
  title  = {Vortex ground states for Klein-Gordon-Maxwell-Proca type systems},
  author = {Pietro d'Avenia and Jarosław Mederski and Alessio Pomponio},
  journal= {arXiv preprint arXiv:1603.04649},
  year   = {2017}
}

Comments

20 pages

R2 v1 2026-06-22T13:11:13.846Z