{
  "id": "0805.0748",
  "version": "v1",
  "published": "2008-05-06T15:50:36.000Z",
  "updated": "2008-05-06T15:50:36.000Z",
  "title": "A Microscopic Convexity Principle for Nonlinear Partial Differential Equations",
  "authors": [
    "Baojun Bian",
    "Pengfei Guan"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We establish a microscopic convexity principle for nonlinear elliptic and parabolic partial differential equations in general form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-06T15:50:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear partial differential equations",
      "microscopic convexity principle",
      "parabolic partial differential equations",
      "nonlinear elliptic",
      "general form"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00222-009-0179-5",
      "journal": "Inventiones Mathematicae",
      "year": 2009,
      "month": "Aug",
      "volume": 177,
      "number": 2,
      "pages": 307
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009InMat.177..307B"
    }
  }
}