For n ≥ 25 there exists a metric on the sphere whose conformal class contains a non-compact set of positive constant Q/R metrics, realized by blowing-up solutions to the Paneitz-conformal Laplacian equation.
Dif- ferential Geom.20(1984), no
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Blow-up phenomena for the constant Q/R-curvature equation
For n ≥ 25 there exists a metric on the sphere whose conformal class contains a non-compact set of positive constant Q/R metrics, realized by blowing-up solutions to the Paneitz-conformal Laplacian equation.