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.
Cite this article
Daniele Castorina, Isabella Fabbri, Giovanni Mancini, Kunnath Sandeep, Hardy–Sobolev inequalities and hyperbolic symmetry. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 19 (2008), no. 3, pp. 189–197DOI 10.4171/RLM/517