{
  "id": "2307.12095",
  "version": "v1",
  "published": "2023-07-22T14:58:43.000Z",
  "updated": "2023-07-22T14:58:43.000Z",
  "title": "Fully nonlinear equations with Muckenhoupt weights and applications",
  "authors": [
    "David Jesus",
    "Yannick Sire"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the regularity of viscosity solutions for fully nonlinear Hessian equations with coefficients in some $A_p$ class. We prove H\\\"older and higher regularity under mild assumptions on the coefficients. We use approximation techniques in the spirit of Caffarelli's seminal approach. A special attention has to be paid to the degeneracy of the coefficients and we assume some natural structural assumptions which entail applications to curvature equations on conic manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-22T14:58:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "35J60",
      "35J70",
      "35R06"
    ],
    "keywords": [
      "fully nonlinear equations",
      "muckenhoupt weights",
      "fully nonlinear hessian equations",
      "coefficients",
      "natural structural assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}