{
  "id": "0705.2287",
  "version": "v1",
  "published": "2007-05-16T07:56:47.000Z",
  "updated": "2007-05-16T07:56:47.000Z",
  "title": "On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations",
  "authors": [
    "Hongjie Dong",
    "Seick Kim",
    "Mikhail Safonov"
  ],
  "comment": "To appear in Comm. Partial Differential Equations; 10 pages",
  "journal": "Comm. Partial Differential Equations 33 (2008), no. 2, pp. 177-188",
  "doi": "10.1080/03605300601188748",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-16T07:56:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65",
      "35B05"
    ],
    "keywords": [
      "nonlinear elliptic equations",
      "study boundary blow-up solutions",
      "second order elliptic operator",
      "semilinear elliptic equations",
      "uniqueness theorems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2287D"
    }
  }
}