Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method
Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method
The purpose of this work is to establish a quantitative and constructive stability result for a class of subcritical Gagliardo-Nirenberg-Sobolev inequalities which interpolates between the logarithmic Sobolev inequality and the standard Sobolev inequality (in dimension larger than three), or Onofri's inequality in dimension two. We develop a new strategy, in …