{
  "id": "math/0402445",
  "version": "v1",
  "published": "2004-02-26T22:49:39.000Z",
  "updated": "2004-02-26T22:49:39.000Z",
  "title": "Integral functionals on Sobolev spaces having multiple local minima",
  "authors": [
    "Biagio Ricceri"
  ],
  "comment": "6 pages",
  "journal": "Variational analysis and applications, 953--961, Nonconvex Optim. Appl., 79, Springer, New York, 2005",
  "doi": "10.1007/0-387-24276-7_55",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, two multiplicity results about local minima of integrals of the calculus of variations are established. The main tool used to prove them is the theory developed in [B. Ricceri, Sublevel sets and global minima of coercive functionals and local minima of their pertubations, math.OC/0402444].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-26T22:49:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20"
    ],
    "keywords": [
      "multiple local minima",
      "integral functionals",
      "sobolev spaces",
      "multiplicity results",
      "main tool"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2445R"
    }
  }
}