A Quantitative Analysis of Metrics on Rn with Almost Constant Positive Scalar Curvature, with Applications to Fast Diffusion Flows

Giulio Ciraolo, Alessio Figalli, Francesco Maggi

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.
Original languageEnglish
Number of pages18
JournalInternational Mathematics Research Notices
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • General Mathematics

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