{
  "id": "1411.3184",
  "version": "v1",
  "published": "2014-11-12T14:25:35.000Z",
  "updated": "2014-11-12T14:25:35.000Z",
  "title": "Linear elliptic system with nonlinear boundary conditions without Landesman-Lazer conditions",
  "authors": [
    "ALzaki Fadlallah"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The boundary value problem is examined for the system of elliptic equations of from $-\\Delta u + A(x)u = 0 \\quad\\text{in} \\Omega,$ where $A(x)$ is positive semidefinite matrix on $\\mathbb{R}^{{k}\\times{k}},$ and $\\frac{\\partial u}{\\partial \\nu}+g(u)=h(x) \\quad\\text{on} \\partial\\Omega$ It is assumed that $g\\in C(\\mathbb{R}^{k},\\mathbb{R}^{k})$ is a bounded function which may vanish at infinity. The proofs are based on Leray-Schauder degree methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-12T14:25:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear boundary conditions",
      "linear elliptic system",
      "landesman-lazer conditions",
      "boundary value problem",
      "leray-schauder degree methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.3184F"
    }
  }
}