Stability in Gagliardo-Nirenberg inequalities - Supplementary material

TL;DR

This supplementary material provides detailed constants and estimates for classical inequalities related to Gagliardo-Nirenberg inequalities, supporting the main paper's stability analysis with precise, constructive bounds.

Contribution

It offers detailed, explicit constants and estimates for classical inequalities, enhancing the understanding of stability in Gagliardo-Nirenberg inequalities.

Findings

Explicit constants for inequalities are provided.

Constructive estimates improve understanding of stability.

Supports main results with detailed auxiliary inequalities.

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.