{
  "id": "1912.11639",
  "version": "v1",
  "published": "2019-12-25T11:20:46.000Z",
  "updated": "2019-12-25T11:20:46.000Z",
  "title": "Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains",
  "authors": [
    "Louis Dupaigne",
    "ALberto Farina"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10, or in some unbounded domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-25T11:20:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unbounded domains",
      "liouville-type theorems",
      "finite morse index solutions",
      "classification",
      "general semilinear elliptic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}