Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912817217536000 |
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| author | Jevnikar, Aleks Moon, Sang-Hyuck |
| author_facet | Jevnikar, Aleks Moon, Sang-Hyuck |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06901 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence results for a non-relativistic Chern-Simons model with purely mutual interaction Jevnikar, Aleks Moon, Sang-Hyuck Analysis of PDEs 35J61, 35R01, 35A02, 35B06 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 |
| title | Existence results for a non-relativistic Chern-Simons model with purely mutual interaction |
| topic | Analysis of PDEs 35J61, 35R01, 35A02, 35B06 |
| url | https://arxiv.org/abs/2601.06901 |