On radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for p=1 On radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for <i>p </i>= 1

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Abstract

The main purpose of this article is to study the Caffarelli-Kohn-Nirenberg type inequalities (1.2) with <i>p </i>= 1. We show that symmetry breaking of the best constants occurs provided that a parameter |γ|<i> </i>is large enough. In the argument we effectively employ equivalence between the Caffarelli-Kohn-Nirenberg type inequalities with <i>p </i>= 1 and isoperimetric inequalities with weights.

Journal

  • Mathematical Journal of Ibaraki University

    Mathematical Journal of Ibaraki University 47(0), 49-63, 2015

    College of Science, Ibaraki University

Codes

  • NII Article ID (NAID)
    130005100042
  • NII NACSIS-CAT ID (NCID)
    AA11169155
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1343-3636
  • Data Source
    IR  J-STAGE 
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