Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations

By D. Castorina, I. Fabbri, Giovanni Mancini, K. Sandeep. 2009

53 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/14fc855b1a7136e29d89a8e2876aa11af7126082

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In Applied Mathematics

1. Mar'ia de Mar Gonz'alez
2. Valeria Banica
3. Mariel S'aez

In Mathematical Physics

1. Mar'ia de Mar Gonz'alez
2. Valeria Banica
3. Mariel S'aez

Citations in the corpus

• Some constructions for the fractional Laplacian on noncompact manifolds (2012, methodology): “Semilinear equations for the usual Laplace–Beltrami operator on hyperbolic space were studied in [51], [13], for instance, in relation to conformal geometry.”