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Korn inequality and divergence operator: Counterexamples and optimality of weighted estimates

Korn inequality and divergence operator: Counterexamples and optimality of weighted estimates

The Korn inequality and related results on solutions of the divergence in Sobolev spaces have been widely studied since the pioneering works by Korn and Friedrichs. In particular, it is known that this inequality is valid for Lipschitz domains as well as for the more general class of John domains. …