On Korn-Maxwell-Sobolev inequalities

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2021
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Spector, Daniel
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urn:nbn:de:bsz:352-2-8x5r0dq5ro5b2
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10.1016/j.jmaa.2021.125226
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CC BY-NC-ND 4.0

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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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510 Mathematics
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Korn's inequality, Fourier multipliers, Fractional integrals, Singular integrals, Sobolev inequalities, Incompatible tensor fields
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ISO 690GMEINEDER, 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
BibTex
@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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