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. CASTORINA, I. FABBRI, MANCINI G, & K. SANDEEP (2009). Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 246, 1187-1206.
Titolo: | Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Citazione: | D. CASTORINA, I. FABBRI, MANCINI G, & K. SANDEEP (2009). Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 246, 1187-1206. |
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. |
Handle: | http://hdl.handle.net/11590/141450 |
Appare nelle tipologie: | 1.1 Articolo in rivista |