We prove a quantitative structure theorem for metrics on R^n that are conformal to the flat metric, have almost constant positive scalar curvature, and cannot concentrate more than one bubble. As an application of our result, we show a quantitative rate of convergence in relative entropy for a fast diffusion equation in R^n related to the Yamabe flow.
|Numero di pagine||18|
|Rivista||International Mathematics Research Notices|
|Stato di pubblicazione||Published - 2017|
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