A note on the Gagliardo-Nirenberg inequality in a bounded domain
Analysis of PDEs
2021-10-26 v1
Abstract
The classical Gagliardo-Nirenberg inequality was established in . An extension to a bounded domain was given by Gagliardo in 1959. In this note, we present a simple proof of this result and prove a new Gagliardo-Nirenberg inequality in a bounded Lipschitz domain.
Keywords
Cite
@article{arxiv.2110.12967,
title = {A note on the Gagliardo-Nirenberg inequality in a bounded domain},
author = {Congming Li and Kai Zhang},
journal= {arXiv preprint arXiv:2110.12967},
year = {2021}
}