Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
Analysis of PDEs
2026-01-13 v1
Abstract
We are concerned with a skew-symmetric singular Liouville system arising in non-relativistic Chern-Simons theory. Based on its variational structure, we establish existence and multiplicity results. Since the energy functional is indefinite, standard variational approaches do not apply directly. We overcome this difficulty by introducing a suitable constrained problem and implementing a Morse-theoretical argument
Cite
@article{arxiv.2601.06901,
title = {Existence results for a non-relativistic Chern-Simons model with purely mutual interaction},
author = {Aleks Jevnikar and Sang-Hyuck Moon},
journal= {arXiv preprint arXiv:2601.06901},
year = {2026}
}
Comments
17 pages, 1 figure