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.
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/141450
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