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.
Original language | English |
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Article number | 125226 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 502 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2021 Oct 1 |
Externally published | Yes |
Keywords
- Fourier multipliers
- Fractional integrals
- Incompatible tensor fields
- Korn's inequality
- Singular integrals
- Sobolev inequalities
ASJC Scopus subject areas
- Analysis
- Applied Mathematics