{
  "id": "1103.5161",
  "version": "v5",
  "published": "2011-03-26T20:30:15.000Z",
  "updated": "2013-03-15T13:31:23.000Z",
  "title": "Volume-constrained minimizers for the prescribed curvature problem in periodic media",
  "authors": [
    "Michael Goldman",
    "Matteo Novaga"
  ],
  "comment": "In this version the statement of Lemma 2.5 has been corrected with respect to the published version",
  "categories": [
    "math.AP",
    "math.DG",
    "math.OC"
  ],
  "abstract": "We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate solutions to the prescribed mean curvature equation. We also show convergence after rescaling of the volume-constrained minimizers towards a suitable Wulff Shape, when the volume tends to infinity.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-03-15T13:31:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prescribed curvature problem",
      "periodic media",
      "volume-constrained minimizers",
      "construct compact approximate solutions",
      "prescribed mean curvature problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.5161G"
    }
  }
}