{
  "id": "2105.11890",
  "version": "v1",
  "published": "2021-05-25T12:49:09.000Z",
  "updated": "2021-05-25T12:49:09.000Z",
  "title": "Bifurcation and Multiplicity Results for Elliptic Problems with Subcritical Nonlinearity on the Boundary",
  "authors": [
    "Shalmali Bandyopadhyay",
    "Maya Chhetri",
    "Briceyda B. Delgado",
    "Nsoki Mavinga",
    "Rosa Pardo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider an elliptic problem with nonlinear boundary condition involving nonlinearity with superlinear and subcritical growth at infinity and a bifurcation parameter as a factor. We use re-scaling method, degree theory and continuation theorem to prove that there exists a connected branch of positive solutions bifurcating from infinity when the parameter goes to zero. Moreover, if the nonlinearity satisfies additional conditions near zero, we establish a global bifurcation result, and discuss the number of positive solution(s) with respect to the parameter using bifurcation theory and degree theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-25T12:49:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J65",
      "35J61",
      "35J15"
    ],
    "keywords": [
      "elliptic problem",
      "multiplicity results",
      "subcritical nonlinearity",
      "degree theory",
      "nonlinearity satisfies additional conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}