4 papers
Energy identity for Intrinsic Stationary Biharmonic Mappings into Homogeneous Spaces in Supercritical Dimensions
Chang-Yu Guo, Yu-Ting Kang, Ming-Lun Liu +1
In this paper, we consider energy identity for intrinsic stationary biharmonic maps into homogeneous spaces in supercritical dimensions, extending the corresponding result of Hornu…
Quantitative stratification and optimal regularity for harmonic almost complex structures
Chang-Yu Guo, Ming-Lun Liu, Chang-Lin Xiang
In a recent interesting work [15], W.Y. He established the important partial regularity theory and the almost optimal higher regularity theory for energy minimizing harmonic almost…
-regularity of a geometrically nonlinear system in supercritical dimensions
Chang-Yu Guo, Chang-Lin Xiang, Ming-Lun Liu
In a recent work, Gastel and Neff introduced an interesting system from a geometrically nonlinear flat cosserat micropolar model and established interior regularity in the critical…
Boundary Regularity for an Even Order Elliptic System in the Critical Dimension
Ming-Lun Liu, Yao-Lan Tian
In this short note, we consider the Dirichlet problem associated to an even order elliptic system with antisymmetric first order potential. Given any continuous boundary data, we s…