{
  "id": "math/0607240",
  "version": "v1",
  "published": "2006-07-10T14:35:21.000Z",
  "updated": "2006-07-10T14:35:21.000Z",
  "title": "New maximum principles for linear elliptic equations",
  "authors": [
    "Hung-Ju Kuo",
    "Neil S. Trudinger"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove extensions of the estimates of Aleksandrov and Bakel$'$man for linear elliptic operators in Euclidean space $\\Bbb{R}^{\\it n}$ to inhomogeneous terms in $L^q$ spaces for $q < n$. Our estimates depend on restrictions on the ellipticity of the operators determined by certain subcones of the positive cone. We also consider some applications to local pointwise and $L^2$ estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-10T14:35:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J15"
    ],
    "keywords": [
      "linear elliptic equations",
      "maximum principles",
      "linear elliptic operators",
      "euclidean space",
      "estimates depend"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7240K"
    }
  }
}