ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry. KEY WORDS: Nonlinear PDE; hyperbolic symmetry; Hardy–Sobolev inequalities. MATHEMATICS SUBJECT CLASSIFICATION (2000): Primary 35J60; Secondary 35B05, 35A15.

Castorina, D., Fabbri, I., Mancini, G., Sandeep, K. (2008). HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 19 (2008), NO. 3,, 189-197.

HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY

MANCINI, Giovanni;
2008-01-01

Abstract

ABSTRACT. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry. KEY WORDS: Nonlinear PDE; hyperbolic symmetry; Hardy–Sobolev inequalities. MATHEMATICS SUBJECT CLASSIFICATION (2000): Primary 35J60; Secondary 35B05, 35A15.
2008
Castorina, D., Fabbri, I., Mancini, G., Sandeep, K. (2008). HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 19 (2008), NO. 3,, 189-197.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/120077
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact