{
  "id": "1709.00905",
  "version": "v1",
  "published": "2017-09-04T11:46:56.000Z",
  "updated": "2017-09-04T11:46:56.000Z",
  "title": "Elliptic Partial Differential Equation involving singularity",
  "authors": [
    "A. Panda",
    "S. Ghosh",
    "D. Choudhuri"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The aim of this paper is to prove existence of solutions for a partial differential equation involving a singularity with a general nonnegative, Radon measure as source term which is given as \\begin{eqnarray} -\\Delta u &=& f(x)h(u)+\\mu~\\text{in}~\\Omega\\nonumber\\\\ u &=& 0~\\text{on}~\\partial\\Omega\\nonumber\\\\ u &>& 0~\\text{on}~\\Omega\\nonumber, \\end{eqnarray} where $\\Omega$ is a bounded domain of $\\mathbb{R}^N$. $f$ is a nonnegative function over $\\Omega$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-04T11:46:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J35",
      "35J60"
    ],
    "keywords": [
      "elliptic partial differential equation",
      "singularity",
      "radon measure",
      "source term",
      "bounded domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}