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

2026/08/02 by Jongmin Han, Kyungwoo Song
Mathematics · #math.AP

paper · pdf · doi:10.1016/j.na.2025.113950

published as Nonlinear Analysis TMA 263 (2026), Article No. 113950

arxiv created 2026/08/02 · arxiv updated 2026/08/04

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.

Citations

• Existence of Doubly Periodic Vortices in a Generalized Chern--Simons Model
• The Existence of Multi-vortices for a Generalized Self-dual Chern-Simons Model