JournalsrlmVol. 19 , No. 3DOI 10.4171/rlm/517

Hardy–Sobolev inequalities and hyperbolic symmetry

  • Daniele Castorina

    Università di Roma Tor Vergata, Italy
  • Isabella Fabbri

    Università degli studi Roma Tre, Italy
  • Giovanni Mancini

    Università degli studi Roma Tre, Italy
  • Kunnath Sandeep

    TIFR Centre for Applicable Mathematics, Bangalore, India
Hardy–Sobolev inequalities and hyperbolic symmetry cover

Abstract

We discuss uniqueness and nondegeneracy of extremals for some wheighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry.