{
  "id": "2008.03056",
  "version": "v1",
  "published": "2020-08-07T09:29:01.000Z",
  "updated": "2020-08-07T09:29:01.000Z",
  "title": "On some $\\overrightarrow{p(x)}$ anisotropic elliptic equations in unbounded domain",
  "authors": [
    "A. Aberqi",
    "B. Aharrouch",
    "J. Bennouna"
  ],
  "comment": "Accepted for publication in AMV",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on an unbounded domain $\\Omega\\subset \\>I\\!\\!R^{N}\\>(N \\geq 2)\\>$. We prove the existence of entropy solutions avoiding sign condition and coercivity on the lowers order terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-07T09:29:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65",
      "46A32",
      "47D20"
    ],
    "keywords": [
      "anisotropic elliptic equations",
      "unbounded domain",
      "entropy solutions avoiding sign condition",
      "nonlinear elliptic problems",
      "sobolev anisotropic spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}