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.
|Number of pages||18|
|Journal||International Mathematics Research Notices|
|Publication status||Published - 2017|
All Science Journal Classification (ASJC) codes
- General Mathematics