{
  "id": "1807.07290",
  "version": "v1",
  "published": "2018-07-19T08:37:32.000Z",
  "updated": "2018-07-19T08:37:32.000Z",
  "title": "Ground state solutions for Bessel fractional equations with irregular nonlinearities",
  "authors": [
    "Simone Secchi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the semilinear fractional equation $ (I-\\Delta)^s u = a(x) |u|^{p-2}u$ in $\\mathbb{R}^N$, where $N \\geq 3$, $0<s<1$, $2<p<2N/(N-2s)$ and $a$ is a bounded weight function. Without assuming that $a$ has an asymptotic profile at infinity, we prove the existence of a ground state solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-19T08:37:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35S05"
    ],
    "keywords": [
      "ground state solution",
      "bessel fractional equations",
      "irregular nonlinearities",
      "semilinear fractional equation",
      "bounded weight function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}