{
  "id": "1712.01595",
  "version": "v1",
  "published": "2017-12-05T12:11:30.000Z",
  "updated": "2017-12-05T12:11:30.000Z",
  "title": "Global existence results and duality for non-linear models of plates and shells",
  "authors": [
    "Fabio Botelho"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "In this article firstly we develop a new proof for global existence of minimizers for the Kirchhoff-Love plate model. We also present a duality principle and relating sufficient optimality conditions for such a variational plate model. In a second step, we present a global existence result for a non-linear model of shells. For this model, we also develop a duality principle and concerning sufficient conditions of optimality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-05T12:11:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J10",
      "49N15"
    ],
    "keywords": [
      "global existence result",
      "non-linear model",
      "duality principle",
      "kirchhoff-love plate model",
      "relating sufficient optimality conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}