{
  "id": "1503.04879",
  "version": "v1",
  "published": "2015-03-16T23:39:08.000Z",
  "updated": "2015-03-16T23:39:08.000Z",
  "title": "On the viscosity solutions to some nonlinear elliptic equations",
  "authors": [
    "Tilak Bhattacharya",
    "Leonardo Marazzi"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider viscosity solutions of a class of nonlinear degenerate elliptic equations on bounded domains. We prove comparison principles and a priori supremum bounds for the solutions. We also address the eigenvalue problem and, in many instances, show the existence of a first eigenvalue and a first positive eigenfunction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-16T23:39:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J70",
      "35P30"
    ],
    "keywords": [
      "nonlinear elliptic equations",
      "viscosity solutions",
      "nonlinear degenerate elliptic equations",
      "priori supremum bounds",
      "first eigenvalue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}