A perturbation result for the Webster scalar curvature problem on the CR sphere

By A. Malchiodi, Francesco Uguzzoni. 2002

75 citations recorded by the source corpus.

Abstract We consider the problem of prescribing the Webster scalar curvature on the unit sphere of C n+1 . Using a perturbation method, we obtain existence results for curvatures close to a positive constant and satisfying an assumption of Bahri–Coron type.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/94079cf9aeefabf354ce9288dc99a1583f275d7d

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In Applied Mathematics

1. Giovanni Mancini
2. K. Sandeep

Citations in the corpus

• Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations (2009, unknown): “Finally, by imposing conditions only on the critical points of ψ |{y=0} , we can obtain an existence result similar to the ones in [2,7,21], under a Bahri–Coron type condition.”
• On a semilinear elliptic equation in Hn (2008, background): “It is also related (see [9]) to the Yamabe equation on the Heisenberg group and hence to the Webster scalar curvature equation (see [14]-[19], and, for a more general setting, [7]).”