{
  "id": "1905.04123",
  "version": "v1",
  "published": "2019-05-10T12:39:24.000Z",
  "updated": "2019-05-10T12:39:24.000Z",
  "title": "Estimates for Liouville equation with quantized singularities",
  "authors": [
    "Juncheng Wei",
    "Lei Zhang"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "For Liouville equations with singular sources, it is well known that blowup solutions may exhibit non-simple blowup phenomenon if the blowup point happens to be the singular source and the strength of the singular source is a multiple of $4\\pi$. In this article we prove that even in this case some coefficient functions must vanish at the singular source and bubbling solutions can still be accurately approximated by global solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-10T12:39:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J75",
      "35J61"
    ],
    "keywords": [
      "liouville equation",
      "singular source",
      "quantized singularities",
      "blowup point happens",
      "non-simple blowup phenomenon"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}