a b s t r a c t Article history: Received 16 April 2008 Revised 5 September 2008 Available online 22 October 2008 MSC: primary 35J60 secondary 35B05, 35A15 We prove nondegeneracy of extremals for some Hardy–Sobolev– Maz’ya inequalities and present applications to scalar curvaturetype problems, including the Webster scalar curvature equation in a cylindrically symmetric setting. The main theme is hyperbolic symmetry. © 2008 Elsevier Inc. All rights reserved.
D., C., I., F., Mancini, G., K., S. (2009). Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 246, 1187-1206.
Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations
MANCINI, Giovanni;
2009-01-01
Abstract
a b s t r a c t Article history: Received 16 April 2008 Revised 5 September 2008 Available online 22 October 2008 MSC: primary 35J60 secondary 35B05, 35A15 We prove nondegeneracy of extremals for some Hardy–Sobolev– Maz’ya inequalities and present applications to scalar curvaturetype problems, including the Webster scalar curvature equation in a cylindrically symmetric setting. The main theme is hyperbolic symmetry. © 2008 Elsevier Inc. All rights reserved.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.
