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arXiv · 1605.01006

Trace-free Korn inequalities in Orlicz spaces

Dominic Breit·Andrea Cianchi·Lars Diening
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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.

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Dominic Breit, Andrea Cianchi, Lars Diening. 2016-05-03. Trace-free Korn inequalities in Orlicz spaces. https://arxiv.org/abs/1605.01006

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