Trace-free Korn inequalities in Orlicz spaces
Analysis of PDEs
2017-02-28 v2
Abstract
Necessary and sufficient conditions are exhibited for a Korn type inequality to hold between (possibly different) Orlicz norms of the gradient of vector-valued functions and of the deviatoric part of their symmetric gradients. As a byproduct of our approach, a positive answer is given to the question of the necessity of the same sufficient conditions in related Korn type inequalities for the full symmetric gradient, for negative Orlicz-Sobolev norms, and for the gradient of the Bogovskii operator.
Keywords
Cite
@article{arxiv.1605.01006,
title = {Trace-free Korn inequalities in Orlicz spaces},
author = {Dominic Breit and Andrea Cianchi and Lars Diening},
journal= {arXiv preprint arXiv:1605.01006},
year = {2017}
}