{
  "id": "2409.15870",
  "version": "v1",
  "published": "2024-09-24T08:42:34.000Z",
  "updated": "2024-09-24T08:42:34.000Z",
  "title": "New Approach for Interior Regularity of Monge-Ampère Equations",
  "authors": [
    "Ruosi Chen",
    "Xingchen Zhou"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "By developing an integral approach, we present a new method for the interior regularity of strictly convex solution of the Monge-Amp\\`{e}re equation $\\det D^2 u = 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-24T08:42:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interior regularity",
      "monge-ampère equations",
      "strictly convex solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}