The sharp Gagliardo--Nirenberg--Sobolev inequality in quantitative form
Functional Analysis
2017-02-06 v1 Analysis of PDEs
Abstract
Using a dimension reduction argument and a stability version of the weighted Sobolev inequality on half space recently proved by Seuffert, we establish, in this paper, some stability estimates (or quantitative estimates) for a family of the sharp Gagliardo--Nirenberg--Sobolev inequalities due to Del Pino and Dolbeault \cite{DelPino}.
Cite
@article{arxiv.1702.01039,
title = {The sharp Gagliardo--Nirenberg--Sobolev inequality in quantitative form},
author = {Van Hoang Nguyen},
journal= {arXiv preprint arXiv:1702.01039},
year = {2017}
}
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29 pages, comment are welcome