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arXiv · 2401.11177

Optimal higher regularity for biharmonic maps via quantitative stratification

Chang-Yu Guo·Gui-Chun Jiang·Chang-Lin Xiang·Gao-Feng Zheng
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Abstract

This little note is devoted to refining the almost optimal regularity results of Breiner and Lamm \cite{Breiner-Lamm-2015} on minimizing and stationary biharmonic maps via the powerful quantitative stratification method introduced by Cheeger and Naber \cite{Cheeger-Naber-2013} and further developed by Naber and Valtorta \cite{Naber-V-2017,Naber-V-2018} for harmonic maps. In particular, we obtain an optimal regularity results for minimizing biharmonic maps.

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Chang-Yu Guo, Gui-Chun Jiang, Chang-Lin Xiang, Gao-Feng Zheng. 2024-01-20. Optimal higher regularity for biharmonic maps via quantitative stratification. https://arxiv.org/abs/2401.11177

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