{
  "id": "2501.18234",
  "version": "v1",
  "published": "2025-01-30T09:46:31.000Z",
  "updated": "2025-01-30T09:46:31.000Z",
  "title": "Existence and uniqueness of solutions to Liouville equation",
  "authors": [
    "Alireza Ataei"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove some general results on the existence and uniqueness of solutions to the Liouville equation. Then, we discuss the sharpness and possible generalizations. Finally, we give several applications, arising in both mathematics and physics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-30T09:46:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "liouville equation",
      "uniqueness",
      "general results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}