Accepted Paper

Inserted: 13 jan 2026
Last Updated: 14 aug 2026

Journal: J. Math. Phys.
Year: 2026

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