{
  "id": "math/0605284",
  "version": "v1",
  "published": "2006-05-11T18:31:22.000Z",
  "updated": "2006-05-11T18:31:22.000Z",
  "title": "On Regions of Existence and Nonexistence of solutions for a System of $p$-$q$-Laplacians",
  "authors": [
    "Philippe Clement",
    "Marta Garcia-Huidobro",
    "Ignacio Guerra",
    "Raul Manasevich"
  ],
  "comment": "17 pages, accepted in Asymptotic Analysis",
  "categories": [
    "math.AP"
  ],
  "abstract": "We give a new region of existence of solutions to the superhomogeneous Dirichlet problem $$ \\quad \\begin{array}{l} -\\Delta_{p} u= v^\\delta\\quad v>0\\quad {in}\\quad B,\\cr -\\Delta_{q} v = u^{\\mu}\\quad u>0\\quad {in}\\quad B, \\cr u=v=0 \\quad {on}\\quad \\partial B, \\end{array}\\leqno{(S_R)} $$ where $B$ is the ball of radius $R>0$ centered at the origin in $\\RR^N.$ Here $\\delta, \\mu >0$ and $ \\Delta_{m} u={\\rm div}(|\\nabla u|^{m-2}\\nabla u) $ is the $m-$Laplacian operator for $m>1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-11T18:31:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J70",
      "35B33"
    ],
    "keywords": [
      "nonexistence",
      "superhomogeneous dirichlet problem",
      "laplacian operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5284C"
    }
  }
}