On Korn-Maxwell-Sobolev inequalities
On Korn-Maxwell-Sobolev inequalities
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Date
2021
Authors
Spector, Daniel
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Journal of Mathematical Analysis and Applications ; 502 (2021), 1. - 125226. - Elsevier. - ISSN 0022-247X. - eISSN 1096-0813
Abstract
We establish a family of inequalities that allow one to estimate the Lq-norm of a matrix-valued field by the Lq-norm of an elliptic part and the Lp-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.
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Subject (DDC)
510 Mathematics
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Korn's inequality, Fourier multipliers, Fractional integrals, Singular integrals, Sobolev inequalities, Incompatible tensor fields
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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.2021.125226BibTex
@article{Gmeineder2021-10KornM-53869, year={2021}, doi={10.1016/j.jmaa.2021.125226}, title={On Korn-Maxwell-Sobolev inequalities}, number={1}, volume={502}, issn={0022-247X}, journal={Journal of Mathematical Analysis and Applications}, author={Gmeineder, Franz and Spector, Daniel}, note={Article Number: 125226} }
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