{
  "id": "0802.4352",
  "version": "v1",
  "published": "2008-02-29T10:07:34.000Z",
  "updated": "2008-02-29T10:07:34.000Z",
  "title": "Klein-Gordon-Maxwell System in a bounded domain",
  "authors": [
    "Pietro d'Avenia",
    "Lorenzo Pisani",
    "Gaetano Siciliano"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is concerned with the Klein-Gordon-Maxwell system in a bounded spatial domain. We discuss the existence of standing waves $\\psi=u(x)e^{-i\\omega t}$ in equilibrium with a purely electrostatic field $\\mathbf{E}=-\\nabla\\phi(x)$. We assume an homogeneous Dirichlet boundary condition on $u$ and an inhomogeneous Neumann boundary condition on $\\phi$. In the \"linear\" case we characterize the existence of nontrivial solutions for small boundary data. With a suitable nonlinear perturbation in the matter equation, we get the existence of infinitely many solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-29T10:07:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J50",
      "35J55",
      "35Q60"
    ],
    "keywords": [
      "klein-gordon-maxwell system",
      "bounded domain",
      "small boundary data",
      "inhomogeneous neumann boundary condition",
      "homogeneous dirichlet boundary condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.4352D"
    }
  }
}