{
  "id": "1906.07593",
  "version": "v1",
  "published": "2019-06-18T14:07:04.000Z",
  "updated": "2019-06-18T14:07:04.000Z",
  "title": "An eigenvalue problem for the anisotropic $Φ$-Laplacian",
  "authors": [
    "A. Alberico",
    "G. di Blasio",
    "F. Feo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study an eigenvalue problem involving a fully anisotropic elliptic differential operator in arbitrary Orlicz-Sobolev spaces. The relevant equations are associated with constrained minimization problems for integral functionals depending on the gradient of competing functions through general anisotropic $N$-functions. In particular, the latter need neither be radial, nor have a polynomial growth, and are not even assumed to satisfy the so called $\\Delta_2$-condition. The resulting analysis requires the development of some new aspects of the theory of anisotropic Orlicz-Sobolev spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-18T14:07:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eigenvalue problem",
      "fully anisotropic elliptic differential operator",
      "arbitrary orlicz-sobolev spaces",
      "anisotropic orlicz-sobolev spaces",
      "relevant equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}