{
  "id": "2011.04455",
  "version": "v1",
  "published": "2020-11-09T14:23:37.000Z",
  "updated": "2020-11-09T14:23:37.000Z",
  "title": "Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group",
  "authors": [
    "Mattia Fogagnolo",
    "Andrea Pinamonti"
  ],
  "comment": "Accepted for publication in \"Mathematics in Engineering\"",
  "categories": [
    "math.AP",
    "math.DG",
    "math.MG"
  ],
  "abstract": "We examine the geometry of the level sets of particular horizontally $p$-harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the level sets of the $p$-capacitary potential of a bounded annulus in the Heisenberg group are strictly starshaped.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-09T14:23:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg group",
      "horizontal p-laplacian",
      "strict starshapedness",
      "level sets",
      "harmonic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}