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<p>This note is devoted to refining the almost optimal regularity results of Breiner and Lamm on minimizing and stationary biharmonic maps via the powerful quantitative stratification method initiated by Cheeger and Naber and significantly developed by Naber and Valtorta for harmonic maps. In particular, we obtain an optimal regularity result for minimizing biharmonic maps.</p>

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Optimal Higher Regularity for Biharmonic Maps Via Quantitative Stratification

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • Changyu Guo,
  • Guichun Jiang,
  • Changlin Xiang,
  • Gaofeng Zheng

摘要

This note is devoted to refining the almost optimal regularity results of Breiner and Lamm on minimizing and stationary biharmonic maps via the powerful quantitative stratification method initiated by Cheeger and Naber and significantly developed by Naber and Valtorta for harmonic maps. In particular, we obtain an optimal regularity result for minimizing biharmonic maps.