Gradient stability for the Sobolev inequality: the case

  • Alessio Figalli

    ETH Zürich, Switzerland
  • Robin Neumayer

    Northwestern University, Evanston, USA
Gradient stability for the Sobolev inequality: the case $p\geq 2$ cover
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Abstract

We show a strong form of the quantitative Sobolev inequality in for , where the deficit of a function controls for an extremal function in the Sobolev inequality.

Cite this article

Alessio Figalli, Robin Neumayer, Gradient stability for the Sobolev inequality: the case . J. Eur. Math. Soc. 21 (2019), no. 2, pp. 319–354

DOI 10.4171/JEMS/837