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Stability in Gagliardo-Nirenberg inequalities - Supplementary material

Analysis of PDEs 2020-07-08 v1

Abstract

This document comes as supplementary material of the paper Stability in Gagliardo-Nirenberg inequalities by the same authors. It is intended to state a number of classical or elementary statements concerning constants and inequalities for which we are not aware of existing published material or expressions detailed enough for our purpose. We claim no originality on the theoretical results and rely on standard methods in most cases, except that we keep track of the constants and provide constructive estimates.

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Cite

@article{arxiv.2007.03419,
  title  = {Stability in Gagliardo-Nirenberg inequalities - Supplementary material},
  author = {Matteo Bonforte and Jean Dolbeault and Bruno Nazaret and Nikita Simonov},
  journal= {arXiv preprint arXiv:2007.03419},
  year   = {2020}
}