{
  "id": "0707.2404",
  "version": "v1",
  "published": "2007-07-16T22:26:25.000Z",
  "updated": "2007-07-16T22:26:25.000Z",
  "title": "Regularity of Solutions to Second-Order Integral Functionals in Variational Calculus",
  "authors": [
    "Moulay Rchid Sidi Ammi",
    "Delfim F. M. Torres"
  ],
  "journal": "Int. J. Appl. Math. Stat.; Vol. 13; No. J08; June 2008; 1--12.",
  "categories": [
    "math.OC"
  ],
  "abstract": "We obtain regularity conditions of a new type of problems of the calculus of variations with second-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon. Our main result asserts that autonomous integral functionals of the calculus of variations with a Lagrangian having superlinearity partial derivatives with respect to the higher-order derivatives admit only minimizers with essentially bounded derivatives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-16T22:26:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N60",
      "49J30",
      "49K05"
    ],
    "keywords": [
      "second-order integral functionals",
      "variational calculus",
      "main result asserts",
      "superlinearity partial derivatives",
      "higher-order derivatives admit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2404R"
    }
  }
}