{
  "id": "1012.0989",
  "version": "v1",
  "published": "2010-12-05T11:29:32.000Z",
  "updated": "2010-12-05T11:29:32.000Z",
  "title": "Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls",
  "authors": [
    "Bo Li",
    "Hongwei Lou"
  ],
  "comment": "24 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "An optimal control problem governed by semilinear elliptic partial differential equations is considered. The equation is in divergence form with the leading term containing controls. By studying the $G$-closure of the leading term, an existence result is established under a Cesari-type condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-05T11:29:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J20",
      "35B27",
      "35J20"
    ],
    "keywords": [
      "leading term containing controls",
      "semilinear elliptic equations",
      "cesari-type condition",
      "semilinear elliptic partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0989L"
    }
  }
}