{
  "id": "1902.08800",
  "version": "v1",
  "published": "2019-02-23T15:07:15.000Z",
  "updated": "2019-02-23T15:07:15.000Z",
  "title": "Nonexistence result for a semilinear elliptic problem",
  "authors": [
    "Salvador López-Martínez",
    "Alexis Molino"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove the nonexistence of nontrivial solution to \\begin{equation*} \\begin{cases} -\\Delta u =f(u) &\\text{in }\\Omega, \\\\ u=0 &\\text{on } \\partial \\Omega, \\end{cases} \\end{equation*} being $\\Omega \\subset \\mathbb{R}^N$ ($N\\geq 2$) a bounded domain with boundary smooth and $f$ Lispchitz with non-positive primitive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-23T15:07:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J91"
    ],
    "keywords": [
      "semilinear elliptic problem",
      "nonexistence result",
      "nontrivial solution",
      "boundary smooth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}