{
  "id": "1501.07434",
  "version": "v1",
  "published": "2015-01-29T12:19:55.000Z",
  "updated": "2015-01-29T12:19:55.000Z",
  "title": "On the L^p-theory of Anisotropic singular perturbations of elliptic problems",
  "authors": [
    "Chokri Ogabi"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article we give an extention of the L^2-theory of anisotropic singular perturbations for elliptic problems. We study a linear and some nonlinear problems involving L^p data (1<p<2). Convergences in pseudo Sobolev spaces are proved for weak and entropy solutions, and rate of convergence is given in cylindrical domains",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-29T12:19:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J15",
      "35B60",
      "35B25"
    ],
    "keywords": [
      "anisotropic singular perturbations",
      "elliptic problems",
      "pseudo sobolev spaces",
      "entropy solutions",
      "nonlinear problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150107434O"
    }
  }
}