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arXiv · 2404.16284

$L^p$-regularity of a geometrically nonlinear system in supercritical dimensions

Chang-Yu Guo·Chang-Lin Xiang·Ming-Lun Liu
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Abstract

In a recent work, Gastel and Neff introduced an interesting system from a geometrically nonlinear flat cosserat micropolar model and established interior regularity in the critical dimension. Inspired by their work on this flat Cosserat model, in this article, we establish both interior regularity and sharp $L^p$ regularity for their system in supercritical dimensions.

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Chang-Yu Guo, Chang-Lin Xiang, Ming-Lun Liu. 2024-04-25. $L^p$-regularity of a geometrically nonlinear system in supercritical dimensions. https://arxiv.org/abs/2404.16284

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