Optimal higher regularity for biharmonic maps via quantitative stratification
Abstract
This little note is devoted to refining the almost optimal regularity results of Breiner and Lamm Breiner-Lamm-2015 on minimizing and stationary biharmonic maps via the powerful quantitative stratification method introduced by Cheeger and Naber Cheeger-Naber-2013 and further developed by Naber and Valtorta 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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