{
  "id": "1304.7142",
  "version": "v2",
  "published": "2013-04-26T12:37:50.000Z",
  "updated": "2013-12-11T09:54:48.000Z",
  "title": "Existence of solutions for a class of $p(x)$-laplacian equations involving a concave-convex nonlinearity with critical growth in $\\mathbb{R}^{N}$",
  "authors": [
    "Claudianor O. Alves",
    "Marcelo C. Ferreira"
  ],
  "comment": "To appear in Topological Methods in Nonlinear Analysis. arXiv admin note: text overlap with arXiv:1304.7141",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of solutions for a class of quasilinear problems involving variable exponents and with nonlinearity having critical growth. The main tool used is the variational method, more precisely, Ekeland's Variational Principle and the Mountain Pass Theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-11T09:54:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical growth",
      "concave-convex nonlinearity",
      "laplacian equations",
      "mountain pass theorem",
      "ekelands variational principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.7142A"
    }
  }
}