{
  "id": "1810.03265",
  "version": "v1",
  "published": "2018-10-08T04:01:06.000Z",
  "updated": "2018-10-08T04:01:06.000Z",
  "title": "Liouville type results for system of equations involving fractional Laplacian in the exterior domain",
  "authors": [
    "Anup Biswas"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "In this article we present a simple and unified probabilistic approach to prove nonexistence of positive super-solutions for system of equations involving potential terms and fractional Laplacian in the exterior domain. The class of problems we consider in this article is quite general compared to the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-08T04:01:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A01",
      "35J60"
    ],
    "keywords": [
      "liouville type results",
      "fractional laplacian",
      "exterior domain",
      "unified probabilistic approach",
      "potential terms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}