Existence of multiple solutions for the generalized Abelian Chern-Simons-Higgs model on a torus

Jongmin Han; Kyungwoo Song

Existence of multiple solutions for the generalized Abelian Chern-Simons-Higgs model on a torus

Analysis of PDEs 2026-08-02 v1

Authors: Jongmin Han , Kyungwoo Song

Abstract

We construct multiple solutions of the generalized self-dual Abelian Chern-Simons-Higgs equation in a two dimensional flat torus by the topological degree method.

Keywords

Chern-Simons-Higgs model multiple solutions torus topological degree method self-dual equations

Cite

@article{arxiv.2608.01275,
  title  = {Existence of multiple solutions for the generalized Abelian Chern-Simons-Higgs model on a torus},
  author = {Jongmin Han and Kyungwoo Song},
  journal= {arXiv preprint arXiv:2608.01275},
  year   = {2026}
}