{
  "id": "0904.2309",
  "version": "v1",
  "published": "2009-04-15T13:00:17.000Z",
  "updated": "2009-04-15T13:00:17.000Z",
  "title": "A short proof of the $C^{0,α}$--regularity of viscosity subsolutions for superquadratic viscous Hamilton-Jacobi equations and applications",
  "authors": [
    "Guy Barles"
  ],
  "journal": "Nonlinear Analysis: Theory, Methods and Applications 73, 1 (2010) 31-47",
  "categories": [
    "math.AP"
  ],
  "abstract": "Recently I. Capuzzo Dolcetta, F. Leoni and A. Porretta obtain a very surprising regularity result for fully nonlinear, superquadratic, elliptic equations by showing that viscosity subsolutions of such equations are locally H\\\"older continuous, and even globally if the boundary of the domain is regular enough. The aim of this paper is to provide a simplified proof of their results, together with an interpretation of the regularity phenomena, some extensions and various applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-15T13:00:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35B65",
      "35J65",
      "35J70",
      "49L25"
    ],
    "keywords": [
      "superquadratic viscous hamilton-jacobi equations",
      "viscosity subsolutions",
      "short proof",
      "applications",
      "capuzzo dolcetta"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}