• Title of article

    Some new and short proofs for a class of Caffarelli–Kohn–Nirenberg type inequalities

  • Author/Authors

    David G. Costa، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2008
  • Pages
    7
  • From page
    311
  • To page
    317
  • Abstract
    In this note we provide simple and short proofs for a class of inequalities of Caffarelli–Kohn–Nirenberg type with sharp constants. Our approach suggests some definitions of weighted Sobolev spaces and their embedding into weighted L2 spaces. These may be useful in studying solvability of problems involving new singular PDEs. © 2007 Elsevier Inc. All rights reserved
  • Keywords
    Caffarelli–Kohn–Nirenberg inequality , Hardy inequality , Sharp constants , Singular PDEs
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2008
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    936377