{
  "id": "1506.00491",
  "version": "v1",
  "published": "2015-06-01T13:40:49.000Z",
  "updated": "2015-06-01T13:40:49.000Z",
  "title": "The structure of finite Morse index solutions to two free boundary problems in $\\R^2$",
  "authors": [
    "Kelei Wang"
  ],
  "comment": "60 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We give a description of the structure of finite Morse index solutions to two free boundary problems in $\\R^2$. These free boundary problems are models of phase transition and they are closely related to minimal hypersurfaces. We show that these finite Morse index solutions have finite ends. Moreover, they converge exponentially to these ends at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-01T13:40:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B08",
      "35B35",
      "35J61",
      "35R35"
    ],
    "keywords": [
      "finite morse index solutions",
      "free boundary problems",
      "minimal hypersurfaces",
      "phase transition",
      "finite ends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150600491W"
    }
  }
}