{
  "id": "1709.02185",
  "version": "v1",
  "published": "2017-09-07T11:38:43.000Z",
  "updated": "2017-09-07T11:38:43.000Z",
  "title": "(Non)uniqueness of minimizers in the least gradient problem",
  "authors": [
    "Wojciech Górny"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Minimizers in the least gradient problem with discontinuous boundary data need not be unique. However, all of them have a similar structure of level sets. Here, we give a full characterization of the set of minimizers in terms of any one of them and discuss stability properties of an approximate problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-07T11:38:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J25",
      "35J75",
      "35J92"
    ],
    "keywords": [
      "gradient problem",
      "minimizers",
      "uniqueness",
      "stability properties",
      "discontinuous boundary data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}