{
  "id": "0810.5143",
  "version": "v1",
  "published": "2008-10-28T21:03:01.000Z",
  "updated": "2008-10-28T21:03:01.000Z",
  "title": "Asymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular Data",
  "authors": [
    "Lei Zhang"
  ],
  "comment": "21 pages. Communications on contemporary mathematics, in press",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a sequence of blowup solutions of a two dimensional, second order elliptic equation with exponential nonlinearity and singular data. This equation has a rich background in physics and geometry. In a work of Bartolucci-Chen-Lin-Tarantello it is proved that the profile of the solutions differs from global solutions of a Liouville type equation only by a uniformly bounded term. The present paper improves their result and establishes an expansion of the solutions near the blowup points with a sharp error estimate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-28T21:03:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B45"
    ],
    "keywords": [
      "singular data",
      "blowup solutions",
      "exponential nonlinearity",
      "asymptotic behavior",
      "second order elliptic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5143Z"
    }
  }
}