{
  "id": "1706.06310",
  "version": "v1",
  "published": "2017-06-20T08:26:53.000Z",
  "updated": "2017-06-20T08:26:53.000Z",
  "title": "Smoothness in the $l_p$ Minkowski problem for $p<1$",
  "authors": [
    "Gabriele Bianchi",
    "Károly J. Böröczky",
    "Andrea Colesanti"
  ],
  "categories": [
    "math.MG"
  ],
  "abstract": "We discuss the smoothness and strict convexity of the solution of the $L_p$ Minkowski problem when $p<1$ and the given measure has a positive density function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-20T08:26:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A40",
      "35J96"
    ],
    "keywords": [
      "minkowski problem",
      "smoothness",
      "strict convexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}