{
  "id": "1806.09578",
  "version": "v1",
  "published": "2018-06-25T17:24:52.000Z",
  "updated": "2018-06-25T17:24:52.000Z",
  "title": "On the Morse Index of Critical Points in the Viscosity Method",
  "authors": [
    "Alexis Michelat"
  ],
  "comment": "38 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We show that in viscous approximations of functionals defined on Finsler manifolds, it is possible to construct suitable sequences of critical points of these approximations satisfying the expected Morse index bounds as in Lazer-Solimini's theory, together with the entropy condition of Michael Struwe.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-25T17:24:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46T05",
      "47J30",
      "58B20"
    ],
    "keywords": [
      "critical points",
      "viscosity method",
      "expected morse index bounds",
      "michael struwe",
      "construct suitable sequences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}