{
  "id": "1502.02221",
  "version": "v1",
  "published": "2015-02-08T07:08:55.000Z",
  "updated": "2015-02-08T07:08:55.000Z",
  "title": "Existence and concentration of solutions for a fractional Schrodinger equations with sublinear nonlinearity",
  "authors": [
    "Jinguo Zhang",
    "Weifeng Jiang"
  ],
  "comment": "8pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This article concerns the fractional elliptic equations \\begin{equation*}(-\\Delta)^{s}u+\\lambda V(x)u=f(u), \\quad u\\in H^{s}(\\mathbb{R}^N), \\end{equation*}where $(-\\Delta)^{s}$ ($s\\in (0\\,,\\,1)$) denotes the fractional Laplacian, $\\lambda >0$ is a parameter, $V\\in C(\\mathbb{R}^N)$ and $V^{-1}(0)$ has nonempty interior. Under some mild assumptions, we establish the existence of nontrivial solutions. Moreover, the concentration of solutions is also explored on the set $V^{-1}(0)$ as $\\lambda\\to\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-08T07:08:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional schrodinger equations",
      "sublinear nonlinearity",
      "concentration",
      "fractional elliptic equations",
      "article concerns"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}