{
  "id": "1608.03266",
  "version": "v1",
  "published": "2016-08-10T19:42:41.000Z",
  "updated": "2016-08-10T19:42:41.000Z",
  "title": "Multiplicity results for critical $p$-Laplacian problems",
  "authors": [
    "Giuseppina Barletta",
    "Pasquale Candito",
    "Salvatore A. Marano",
    "Kanishka Perera"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of $N$ distinct pairs of nontrivial solutions for critical $p$-Laplacian problems in ${\\mathbb R}^N$, as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-10T19:42:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J92",
      "35B33"
    ],
    "keywords": [
      "laplacian problems",
      "multiplicity results",
      "global compactness result",
      "distinct pairs",
      "nontrivial solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}