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arXiv · 2010.03353

On Korn-Maxwell-Sobolev Inequalities

Franz Gmeineder·Daniel Spector
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Abstract

We establish a family of inequalities that allow one to estimate the $\mathrm{L}^{q}$-norm of a matrix-valued field by the $\mathrm{L}^{q}$-norm of an elliptic part and the $\mathrm{L}^{p}$-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 $p=1$.

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Franz Gmeineder, Daniel Spector. 2020-10-07. On Korn-Maxwell-Sobolev Inequalities. https://arxiv.org/abs/2010.03353

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