A nonlinear Korn inequality in $\protect \mathbb{R}^n$ with an explicitly bounded constant

It is known that the $W^{1,p}$-distance between an orientation-preserving mapping in $W^{1,p}(\Omega ;\mathbb{R}^n)$ and another orientation-preserving mapping $\Theta \in C^1(\overline{\Omega };\mathbb{R}^n)$, where $\Omega $ is a domain in $\mathbb{R}^n$, $n\geqslant 2$, and $p>1$ is a real num...

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Bibliographic Details
Main Authors: Malin, Maria, Mardare, Cristinel
Format: Article
Language:English
Published: Académie des sciences 2020-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.84/