{
  "id": "1611.03222",
  "version": "v1",
  "published": "2016-11-10T08:55:58.000Z",
  "updated": "2016-11-10T08:55:58.000Z",
  "title": "A note on the Monge-Ampère type equations with general source terms",
  "authors": [
    "Weifeng Qiu",
    "Lan Tang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the generalised solutions to the Monge-Amp{\\`{e}}re type equations with general source terms. We firstly prove the so-called comparison principle and then give some important propositions for the border of generalised solutions. Furthermore, we design well-posed finite element methods for the generalised solutions with the classical and weak Dirichlet boundary conditions respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-10T08:55:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general source terms",
      "monge-ampère type equations",
      "generalised solutions",
      "weak dirichlet boundary conditions",
      "design well-posed finite element methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}