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Rendiconti Lincei - Matematica e Applicazioni


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Volume 19, Issue 3, 2008, pp. 189–197
DOI: 10.4171/RLM/517

Published online: 2008-09-30

Hardy–Sobolev inequalities and hyperbolic symmetry

Daniele Castorina, Isabella Fabbri, Giovanni Mancini and Kunnath Sandeep

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.

Keywords: Nonlinear PDE, hyperbolic symmetry; Hardy–Sobolev inequalities

Castorina Daniele, Fabbri Isabella, Mancini Giovanni, Sandeep Kunnath: Hardy–Sobolev inequalities and hyperbolic symmetry. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 19 (2008), 189-197. doi: 10.4171/RLM/517