$L^p$-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with $p$-integrable exterior derivative

For $n\ge 2$ and $1 we prove an $L^p$-version of the generalized Korn-type inequality for incompatible, $p$-integrable tensor fields $P:\Omega \rightarrow \mathbb{R}^{n\,\times \,n}$ having $p$-integrable generalized $\underline{\operatorname{Curl}}\,$ and generalized vanishing tangential trace $P\,...

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Bibliographic Details
Main Authors: Lewintan, Peter, Neff, Patrizio
Format: Article
Language:English
Published: Académie des sciences 2021-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.216/