Existence results for a non-relativistic Chern–Simons model with purely mutual interaction
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.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 8
- Publication date
- 1 August 2026
- Language
- EN