{
  "id": "0901.4324",
  "version": "v2",
  "published": "2009-01-27T20:02:20.000Z",
  "updated": "2009-03-19T17:28:42.000Z",
  "title": "Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry",
  "authors": [
    "Ovidiu Costin",
    "Louis Dupaigne"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We calculate the full asymptotic expansion of boundary blow-up so- lutions, for any nonlinearity f . Our approach enables us to state sharp qualitative results regarding uniqueness and ra- dial symmetry of solutions, as well as a characterization of nonlinearities for which the blow-up rate is universal. At last, we study in more detail the standard nonlinearities f (u) = u^p, p > 1",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-19T17:28:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary blow-up solutions",
      "unit ball",
      "state sharp qualitative results",
      "sharp qualitative results regarding uniqueness",
      "full asymptotic expansion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2010.02.023",
      "journal": "Journal of Differential Equations",
      "year": 2010,
      "volume": 249,
      "number": 4,
      "pages": 931
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JDE...249..931C"
    }
  }
}