{
  "id": "1011.4235",
  "version": "v2",
  "published": "2010-11-18T17:12:11.000Z",
  "updated": "2011-05-04T16:33:25.000Z",
  "title": "Blow-up phenomena for scalar-flat metrics on manifolds with boundary",
  "authors": [
    "Sergio Almaraz"
  ],
  "comment": "44 pages. Some typos corrected. This is a more detailed version of a paper accepted to Journal of Differential Equations",
  "journal": "Journal of Differential Equations, 251(7), 1813-1840 (2011)",
  "doi": "10.1016/j.jde.2011.04.013",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Let (M,g) be a compact n-dimensional Riemannian manifold with boundary. This article is concerned with the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. We construct examples of metrics on the unit ball, in dimensions n>=25, for which this set is noncompact. These manifolds have umbilic boundary, but they are not conformally equivalent to the unit ball.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-04T16:33:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65",
      "53C25"
    ],
    "keywords": [
      "scalar-flat metrics",
      "blow-up phenomena",
      "unit ball",
      "constant mean curvature hypersurface",
      "compact n-dimensional riemannian manifold"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.4235A"
    }
  }
}