{
  "id": "1410.0843",
  "version": "v1",
  "published": "2014-10-03T13:23:13.000Z",
  "updated": "2014-10-03T13:23:13.000Z",
  "title": "Critical and subcritical fractional problems with vanishing potentials",
  "authors": [
    "João Marcos do Ó",
    "Olimpio H. Miyagaki",
    "Marco Squassina"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-03T13:23:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P15",
      "35P30",
      "35R11"
    ],
    "keywords": [
      "subcritical fractional problems",
      "vanishing potentials",
      "nonlinear nonautonomous scalar field equations",
      "compactness issues",
      "fractional diffusion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.0843M"
    }
  }
}