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<p>Recently, Gastel and Neff (2024) 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 <i>L</i><sup><i>p</i></sup> regularity for their system in supercritical dimensions.</p>

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Lp-regularity of a geometrically nonlinear system in supercritical dimensions

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • Chang-Yu Guo,
  • Ming-Lun Liu,
  • Chang-Lin Xiang

摘要

Recently, Gastel and Neff (2024) 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 Lp regularity for their system in supercritical dimensions.