{
  "id": "1507.08522",
  "version": "v1",
  "published": "2015-07-30T14:47:40.000Z",
  "updated": "2015-07-30T14:47:40.000Z",
  "title": "Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data",
  "authors": [
    "Maria Colombo",
    "Federico Stra"
  ],
  "comment": "21 pages, 5 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We disprove a conjecture in Density Functional Theory, relative to multimarginal optimal transport maps with Coulomb cost. We also provide examples of maps satisfying optimality conditions for special classes of data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-30T14:47:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "49Q20",
      "49S05",
      "81Q05"
    ],
    "keywords": [
      "spherically symmetric data",
      "coulomb cost",
      "multimarginal optimal transport maps",
      "counterexamples",
      "density functional theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}