On the best constant in {G}affney inequality
Functional Analysis
2025-04-02 v1
Abstract
We discuss the value of the best constant in Gaffney inequality namely \lVert \nabla \omega \rVert_{L^{2}}^{2}\leq C\left( \lVert d\omega\rVert_{L^{2}}^{2}+\lVert \delta\omega\rVert_{L^{2}% }^{2}+\lVert \omega\rVert_{L^{2}}^{2}\right) when either or on
Cite
@article{arxiv.1712.04875,
title = {On the best constant in {G}affney inequality},
author = {Gyula Csato and Bernard Dacorogna and Swarnendu Sil},
journal= {arXiv preprint arXiv:1712.04875},
year = {2025}
}