{
  "id": "2009.01602",
  "version": "v1",
  "published": "2020-09-03T12:17:25.000Z",
  "updated": "2020-09-03T12:17:25.000Z",
  "title": "On nonlinear Schrödinger equations on the hyperbolic space",
  "authors": [
    "Matija Cencelj",
    "István Faragó",
    "Róbert Horváth",
    "Dušan D. Repovš"
  ],
  "journal": "J. Math. Anal. Appl. 492:2 (2020), art. 124516, 12 pp",
  "doi": "10.1016/j.jmaa.2020.124516",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study existence of weak solutions for certain classes of nonlinear Schr\\\"{o}dinger equations on the Poincar\\'{e} ball model $\\mathbb{B}^N$, $N\\geq 3$. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-03T12:17:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "49K10",
      "58J32",
      "35A01",
      "35R01"
    ],
    "keywords": [
      "nonlinear schrödinger equations",
      "hyperbolic space",
      "study existence",
      "weak solutions",
      "suitable group theoretical arguments"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}