On Korn-Maxwell-Sobolev inequalities
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.
- Journal of Mathematical Analysis and Applications
Journal of Mathematical Analysis and Applications 502 (1), 125226-, 2021-04-02