On Korn-Maxwell-Sobolev inequalities

We establish a family of inequalities that allow one to estimate the (L)q-norm of a matrix-valued field by the L-q-norm of an elliptic part and the L-p-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. (C) 2021 The Authors. Published by Elsevier Inc.

Automated summary

The study establishes a family of inequalities to estimate the norm of a matrix-valued field, extending previous work by NEFF et al. and being applicable in the regime of p = 1 as a main novelty.