{
  "id": "0712.1781",
  "version": "v3",
  "published": "2007-12-11T17:40:36.000Z",
  "updated": "2008-04-22T07:42:16.000Z",
  "title": "Homogenization of variational problems in manifold valued Sobolev spaces",
  "authors": [
    "Jean-Francois Babadjian",
    "Vincent Millot"
  ],
  "comment": "22 pages",
  "journal": "ESAIM Control, Optimisation and Calculus of Variations 16, no. 4 (2010), 833-855",
  "categories": [
    "math.AP"
  ],
  "abstract": "Homogenization of integral functionals is studied under the constraint that admissible maps have to take their values into a given smooth manifold. The notion of tangential homogenization is defined by analogy with the tangential quasiconvexity introduced by Dacorogna, Fonseca, Maly and Trivisa \\cite{DFMT}. For energies with superlinear or linear growth, a $\\Gamma$-convergence result is established in Sobolev spaces, the homogenization problem in the space of functions of bounded variation being the object of \\cite{BM}.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-04-22T07:42:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74Q05",
      "49J45",
      "49Q20"
    ],
    "keywords": [
      "manifold valued sobolev spaces",
      "variational problems",
      "homogenization problem",
      "convergence result",
      "linear growth"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1781B"
    }
  }
}