• Title of article

    The Fredholm alternative for the one-dimensional p-Laplacian

  • Author/Authors

    Xiaojing Yang and Keith Moffat، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2004
  • Pages
    14
  • From page
    494
  • To page
    507
  • Abstract
    In this paper we consider the solvability of the boundary value problem ϕp(u ) + λ1ϕp(u) = f (u)+ h(t), u(0) = u(T ) = 0, where p >1, ϕp(u) = |u|p−2u. By using generalized polar coordinates transformation method, we improve and generalize some results obtained recently in [J. Differential Equations 151 (1999) 386].  2004 Elsevier Inc. All rights reserved.
  • Keywords
    Leray–Schauder degree , one-dimensional p-Laplacian , Fredholm alternative , Generalized polarcoordinates
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2004
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    931532