{
  "id": "1612.08717",
  "version": "v1",
  "published": "2016-12-27T19:45:20.000Z",
  "updated": "2016-12-27T19:45:20.000Z",
  "title": "Shape optimization problems for nonlocal operators",
  "authors": [
    "Julian Fernandez Bonder",
    "Antonella Ritorto",
    "Ariel Martin Salort"
  ],
  "comment": "17 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we study a general shape optimization problem where the state equation is given in terms of a nonlocal operator. Examples of the problems considered are monotone combinations of fractional eigenvalues. Moreover, we also analyze the transition from nonlocal to local state equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-27T19:45:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R11",
      "49Q10"
    ],
    "keywords": [
      "nonlocal operator",
      "general shape optimization problem",
      "local state equations",
      "fractional eigenvalues",
      "monotone combinations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}