{
  "id": "1810.03837",
  "version": "v1",
  "published": "2018-10-09T07:30:03.000Z",
  "updated": "2018-10-09T07:30:03.000Z",
  "title": "Lipschitz regularity for orthotropic functionals with nonstandard growth conditions",
  "authors": [
    "Pierre Bousquet",
    "Lorenzo Brasco"
  ],
  "comment": "37 pages",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We consider a model convex functional with orthotropic structure and super-quadratic nonstandard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-09T07:30:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J70",
      "35B65",
      "49K20"
    ],
    "keywords": [
      "orthotropic functionals",
      "lipschitz regularity",
      "super-quadratic nonstandard growth conditions",
      "model convex functional",
      "lowest growth rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}