{
  "id": "1103.3023",
  "version": "v1",
  "published": "2011-03-15T20:30:25.000Z",
  "updated": "2011-03-15T20:30:25.000Z",
  "title": "On the equation $-Δu+e^{u}-1=0$ with measures as boundary data",
  "authors": [
    "Laurent Veron"
  ],
  "comment": "Version d\\'etaill\\'ee de la note pr\\'eliminaire hal-00573805",
  "categories": [
    "math.AP"
  ],
  "abstract": "If $\\Omega$ is a bounded domain in $\\mathbb R^N$, we study conditions on a Radon measure $\\mu$ on $\\partial\\Omega$ for solving the equation $-\\Delta u+e^{u}-1=0$ in $\\Omega$ with $u=\\mu$ on $\\partial\\Omega$. The conditions are expressed in terms of Orlicz capacities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-15T20:30:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary data",
      "radon measure",
      "study conditions",
      "orlicz capacities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.3023V"
    }
  }
}