{
  "id": "1110.1157",
  "version": "v1",
  "published": "2011-10-06T06:01:40.000Z",
  "updated": "2011-10-06T06:01:40.000Z",
  "title": "Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix",
  "authors": [
    "Man Chun Leung"
  ],
  "comment": "Part I, 32 pages; Part II, 31 pages; Appendix, 32 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "Using the Lyapunov-Schmidt reduction method, we describe how to use annular domains to construct (scalar curvature) functions on S^n, (n > 5), so that each one of them enables the conformal scalar curvature equation to have a blowing-up sequence of positive solutions. The prescribed scalar curvature function is shown to have C^{n - 1, \\beta} smoothness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-06T06:01:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "53C21"
    ],
    "keywords": [
      "conformal scalar curvature equation",
      "blow-up sequence",
      "construction",
      "lyapunov-schmidt reduction method",
      "prescribed scalar curvature function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.1157L"
    }
  }
}