{
  "id": "1209.0950",
  "version": "v1",
  "published": "2012-09-05T12:47:32.000Z",
  "updated": "2012-09-05T12:47:32.000Z",
  "title": "Normalized solutions of nonlinear Schrödinger equations",
  "authors": [
    "Thomas Bartsch",
    "Sébastien de Valeriola"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the problem -\\Delta u - g(u) = \\lambda u, u \\in H^1(\\R^N), \\int_{\\R^N} u^2 = 1, \\lambda\\in\\R, in dimension $N\\ge2$. Here $g$ is a superlinear, subcritical, possibly nonhomogeneous, odd nonlinearity. We deal with the case where the associated functional is not bounded below on the $L^2$-unit sphere, and we show the existence of infinitely many solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-05T12:47:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35P30",
      "58E05"
    ],
    "keywords": [
      "nonlinear schrödinger equations",
      "normalized solutions",
      "odd nonlinearity",
      "unit sphere",
      "associated functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.0950B"
    }
  }
}