{
  "id": "1410.0490",
  "version": "v1",
  "published": "2014-10-02T09:32:37.000Z",
  "updated": "2014-10-02T09:32:37.000Z",
  "title": "Homogenization of functional with linear growth in the context of $\\mathcal{A}$-quasiconvexity",
  "authors": [
    "José Matias",
    "Marco Morandotti",
    "Pedro M. Santos"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This work deals with the homogenization of functionals with linear growth in the context of $\\mathcal{A}$-quasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between homogenization and the $\\mathcal{A}$-free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-02T09:32:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "49J40",
      "49K20",
      "35E99"
    ],
    "keywords": [
      "linear growth",
      "homogenization",
      "quasiconvexity",
      "functional",
      "free condition plays"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.0490M"
    }
  }
}