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Conformal transformation of metrics on the n-sphere
Journal article   Peer reviewed

Conformal transformation of metrics on the n-sphere

Hichem Chtioui, Randa Ben Mahmoud and Dina A. Abuzaid
Nonlinear analysis, Vol.82, pp.66-81
01/04/2013
DOI: https://doi.org/10.1016/j.na.2013.01.003

Abstract

Critical points at infinity Lack of compactness Scalar curvature problem
The purpose of this work is to discuss some new results on the scalar curvature problem in dimension n≥3. We give precise estimates on the losses of compactness and we prove the existence of at least a solution under the assumption that the prescribed function is flat near its critical points.

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