{
  "id": "1310.7785",
  "version": "v2",
  "published": "2013-10-29T12:37:37.000Z",
  "updated": "2013-11-09T09:41:04.000Z",
  "title": "1/2-Laplacian problems with exponential nonlinearity",
  "authors": [
    "Antonio Iannizzotto",
    "Marco Squassina"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-09T09:41:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K37",
      "34B10",
      "46E30"
    ],
    "keywords": [
      "exponential nonlinearity",
      "fractional sobolev spaces",
      "one-dimensional nonlocal equations",
      "suitable trudinger-moser inequality",
      "fractional diffusion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7785I"
    }
  }
}