• Title of article

    Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs

  • Author/Authors

    Denis Bonheure، نويسنده , , Ederson Moreira dos Santos، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    26
  • From page
    3148
  • To page
    3173
  • Abstract
    We present some topological isomorphisms between Wm,p((0,1)) and . Combined with some arguments from Fourier analysis, we obtain explicit Schauder bases for Wm,p((0,1)) and some of its subspaces. In addition, we apply such results to treat some boundary value problems involving nonlinear elliptic differential equations.
  • Keywords
    Sobolev spacesSchauder basisFourier analysisPerturbation from symmetryHamiltonian systemsp-LaplacianConcave-convex nonlinearity
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2010
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    751891

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=751891