{
  "id": "1901.02493",
  "version": "v1",
  "published": "2019-01-08T20:06:02.000Z",
  "updated": "2019-01-08T20:06:02.000Z",
  "title": "Blow-up analysis for a Hardy-Sobolev equation on compact Riemannian manifolds with application to the existence of solutions",
  "authors": [
    "Youssef Maliki",
    "Fatima Zohra Terki"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "On a compact Riemannian manifold, we study a singular elliptic equation with critical Sobolev exponent and critical Hardy potential. In a first part, we prove an $H^2_1$ type decomposition result for Palais-Smale sequences of the associated energy functional. In a second part, we apply the decomposition result to obtain solutions of different energy levels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-08T20:06:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact riemannian manifold",
      "hardy-sobolev equation",
      "blow-up analysis",
      "application",
      "singular elliptic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}