{
  "id": "0707.2816",
  "version": "v1",
  "published": "2007-07-18T22:36:31.000Z",
  "updated": "2007-07-18T22:36:31.000Z",
  "title": "Regularity of solutions to higher-order integrals of the calculus of variations",
  "authors": [
    "Moulay Rchid Sidi Ammi",
    "Delfim F. M. Torres"
  ],
  "journal": "International Journal of Systems Science, Vol. 39, No. 9, pp. 889--895, 2008",
  "doi": "10.1080/00207720802184733",
  "categories": [
    "math.OC"
  ],
  "abstract": "We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our main regularity result asserts that autonomous integral functionals with a Lagrangian having coercive partial derivatives with respect to the higher-order derivatives admit only minimizers with essentially bounded derivatives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-18T22:36:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N60",
      "49J30",
      "49K05"
    ],
    "keywords": [
      "higher-order integrals",
      "variations",
      "main regularity result asserts",
      "higher-order derivatives admit",
      "lavrentiev phenomenon"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2816R"
    }
  }
}