{
  "id": "math/0306363",
  "version": "v2",
  "published": "2003-06-25T15:53:44.000Z",
  "updated": "2003-06-26T12:08:26.000Z",
  "title": "Compactness and existence results for degenerate critical elliptic equations",
  "authors": [
    "Veronica Felli",
    "Matthias Schneider"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type. By means of blow-up analysis techniques, we prove an a-priori estimate in a weighted space of continuous functions. From this compactness result, the existence of a solution to our problem is proved by exploiting the homotopy invariance of the Leray-Schauder degree.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-06-26T12:08:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J70",
      "35B33",
      "35B45"
    ],
    "keywords": [
      "degenerate critical elliptic equations",
      "existence results",
      "blow-up analysis techniques",
      "a-priori estimate",
      "caffarelli-kohn-nirenberg type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6363F"
    }
  }
}