{
  "id": "2211.17002",
  "version": "v1",
  "published": "2022-11-30T13:56:29.000Z",
  "updated": "2022-11-30T13:56:29.000Z",
  "title": "Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials",
  "authors": [
    "Shuai Jiang",
    "Shibo Liu"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider 6-superlinear Chern-Simons-Schr\\\"{o}dinger systems. In contrast to most studies, we consider the case where the potential $V$ is indefinite so that the Schr\\\"{o}dinger operator $-\\Delta +V$ possesses a finite-dimensional negative space. We obtain nontrivial solutions for the problem via Morse theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-30T13:56:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "indefinite potentials",
      "chern-simons-schrödinger systems",
      "standing waves",
      "finite-dimensional negative space",
      "nontrivial solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}