{
  "id": "1504.06132",
  "version": "v1",
  "published": "2015-04-23T11:47:07.000Z",
  "updated": "2015-04-23T11:47:07.000Z",
  "title": "Landesman-Lazer condition revisited: the influence of vanishing and oscillating nonlinearities",
  "authors": [
    "Pavel Drabek",
    "Martina Langerova"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we deal with semilinear problems at resonance. We present a sufficient condition for the existence of a weak solution in terms of the asymptotic properties of nonlinearity. Our condition generalizes the classical Landesman-Lazer condition but it also covers the cases of vanishing and oscillating nonlinearities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-23T11:47:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J25",
      "35B34",
      "35B38"
    ],
    "keywords": [
      "nonlinearity",
      "landesman-lazer condition",
      "oscillating nonlinearities",
      "semilinear problems",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406132D"
    }
  }
}