On Korn-Maxwell-Sobolev inequalities

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GMEINEDER, Franz, Daniel SPECTOR, 2021. On Korn-Maxwell-Sobolev inequalities. In: Journal of Mathematical Analysis and Applications. Elsevier. 502(1), 125226. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2021.125226

@article{Gmeineder2021-10KornM-53869, title={On Korn-Maxwell-Sobolev inequalities}, year={2021}, doi={10.1016/j.jmaa.2021.125226}, number={1}, volume={502}, issn={0022-247X}, journal={Journal of Mathematical Analysis and Applications}, author={Gmeineder, Franz and Spector, Daniel}, note={Article Number: 125226} }

Spector, Daniel Gmeineder, Franz On Korn-Maxwell-Sobolev inequalities Gmeineder, Franz eng We establish a family of inequalities that allow one to estimate the L<sup>q</sup>-norm of a matrix-valued field by the L<sup>q</sup>-norm of an elliptic part and the L<sup>p</sup>-norm of the matrix-valued curl. This particularly extends previous work byNeffet al. and, as a main novelty, is applicable in the regime p =1. 2021-06-01T08:49:57Z Attribution-NonCommercial-NoDerivatives 4.0 International Spector, Daniel 2021-06-01T08:49:57Z 2021-10

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