Hardy–Sobolev inequalities and hyperbolic symmetry

Daniele Castorina; Isabella Fabbri; Giovanni Mancini; Kunnath Sandeep

doi:10.4171/rlm/517

JournalsrlmVol. 19, No. 3pp. 189–197

Hardy–Sobolev inequalities and hyperbolic symmetry

Daniele Castorina
Università di Roma Tor Vergata, Italy
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Isabella Fabbri
Università degli studi Roma Tre, Italy
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- zbMATH Open
Giovanni Mancini
Università degli studi Roma Tre, Italy
- MathSciNet
- zbMATH Open
Kunnath Sandeep
TIFR Centre for Applicable Mathematics, Bangalore, India
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- zbMATH Open

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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.

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. 189–197

DOI 10.4171/RLM/517