{
  "id": "2208.08164",
  "version": "v1",
  "published": "2022-08-17T09:05:34.000Z",
  "updated": "2022-08-17T09:05:34.000Z",
  "title": "Propagation of minima for nonlocal operators",
  "authors": [
    "Isabeau Birindelli",
    "Giulio Galise",
    "Hitoshi Ishii"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we state some sharp maximum principle, i.e. we characterize the geometry of the sets of minima for supersolutions of equations involving the $k$-\\emph{th fractional truncated Laplacian} or the $k$-\\emph{th fractional eigenvalue} which are fully nonlinear integral operators whose nonlocality is somehow $k$-dimensional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-17T09:05:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlocal operators",
      "propagation",
      "sharp maximum principle",
      "fully nonlinear integral operators",
      "fractional truncated laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}