{
  "id": "1602.03112",
  "version": "v1",
  "published": "2016-02-09T18:31:36.000Z",
  "updated": "2016-02-09T18:31:36.000Z",
  "title": "Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator",
  "authors": [
    "Claudianor O. Alves",
    "Alânnio B. Nóbrega"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Using variational methods, we establish existence of multi-bump solutions for the following class of problems $$ \\left\\{ \\begin{array}{l} \\Delta^2 u +(\\lambda V(x)+1)u = f(u), \\quad \\mbox{in} \\quad \\mathbb{R}^{N}, u \\in H^{2}(\\mathbb{R}^{N}), \\end{array} \\right. $$ where $N \\geq 1$, $\\Delta^2$ is the biharmonic operator, $f$ is a continuous function with subcritical growth and $V : \\mathbb{R}^N \\rightarrow \\mathbb{R}$ is a continuous function verifying some conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-09T18:31:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multi-bump solutions",
      "biharmonic operator",
      "elliptic problems",
      "continuous function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160203112A"
    }
  }
}