@article{b9e65435c2d84fdfa82e2b7ff6e59653,
title = "On Korn-Maxwell-Sobolev inequalities",
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 by NEFF et al. and, as a main novelty, is applicable in the regime p=1.",
keywords = "Fourier multipliers, Fractional integrals, Incompatible tensor fields, Korn's inequality, Singular integrals, Sobolev inequalities",
author = "Franz Gmeineder and Daniel Spector",
note = "Funding Information: Acknowledgments. The first author is grateful to the Hausdorff Centre of Mathematics, Bonn, for financial support. He is moreover indebted to the Okinawa Institute of Science and Technology for financial support that made possible a visit in March 2020, where large parts of this paper were finished. Funding Information: Acknowledgments. The first author is grateful to the Hausdorff Centre of Mathematics , Bonn, for financial support. He is moreover indebted to the Okinawa Institute of Science and Technology for financial support that made possible a visit in March 2020, where large parts of this paper were finished. Publisher Copyright: {\textcopyright} 2021 The Authors",
year = "2021",
month = oct,
day = "1",
doi = "10.1016/j.jmaa.2021.125226",
language = "English",
volume = "502",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",
}