{
  "id": "1210.8209",
  "version": "v1",
  "published": "2012-10-31T01:41:10.000Z",
  "updated": "2012-10-31T01:41:10.000Z",
  "title": "Infinitely many positive solutions for nonlinear equations with non-symmetric potential",
  "authors": [
    "Weiwei Ao",
    "Juncheng Wei"
  ],
  "comment": "43 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the following nonlinear Schrodinger equation [{l} \\Delta u-(1+\\delta V)u+f(u)=0 in \\R^N, u>0 in \\R^N, u\\in H^1(\\R^N).] where $V$ is a potential satisfying some decay condition and $ f(u)$ is a superlinear nonlinearity satisfying some nondegeneracy condition. Using localized energy method, we prove that there exists some $\\delta_0$ such that for $0<\\delta<\\delta_0$, the above problem has infinitely many positive solutions. This generalizes and gives a new proof of the results by Cerami-Passaseo-Solimini (CPAM to appear). The new techniques allow us to establish the existence of infinitely many positive bound states for elliptic systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-31T01:41:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive solutions",
      "nonlinear equations",
      "non-symmetric potential",
      "nonlinear schrodinger equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.8209A"
    }
  }
}