Optimal higher regularity for biharmonic maps via quantitative stratification

Autor: Guo, Chang-Yu, Jiang, Gui-Chun, Xiang, Chang-Lin, Zheng, Gao-Feng
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv