Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations

Castorina, D. ; Fabbri, I. ; Mancini, G. ; Sandeep, K. (2009) Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations Journal of Differential Equations, 246 (3). pp. 1187-1206. ISSN 0022-0396

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Official URL: http://doi.org/10.1016/j.jde.2008.09.006

Related URL: http://dx.doi.org/10.1016/j.jde.2008.09.006

Abstract

We prove nondegeneracy of extremals for some Hardy–Sobolev–Maz'ya inequalities and present applications to scalar curvature-type problems, including the Webster scalar curvature equation in a cylindrically symmetric setting. The main theme is hyperbolic symmetry.

Item Type:Article
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ID Code:121257
Deposited On:13 Jul 2021 07:34
Last Modified:13 Jul 2021 07:34

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