{
  "id": "1409.8479",
  "version": "v1",
  "published": "2014-09-30T11:03:12.000Z",
  "updated": "2014-09-30T11:03:12.000Z",
  "title": "A generalized porous medium equation related to some singular quasilinear problems",
  "authors": [
    "Francesco Petitta"
  ],
  "journal": "Nonlinear Analysis, 72 (11), (2010) 4115--4123",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study existence and nonexistence of solutions for a Dirichlet boundary value problem whose model is $$ \\begin{cases} -\\sum_{m=1}^{\\infty} a_m \\Delta u^m= f&\\text{in}\\ \\Omega \\newline u=0 & \\text{on}\\ \\partial\\Omega\\,, \\end{cases} $$ where $\\Omega$ is a bounded domain of $\\mathbb{R}^N$, $a_m$ is a sequence of nonnegative real numbers, and $f$ is in $L^q(\\Omega)$, $q>\\frac{N}{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-30T11:03:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized porous medium equation",
      "singular quasilinear problems",
      "dirichlet boundary value problem",
      "study existence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.8479P"
    }
  }
}