5 papers · 1 filter
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…
The Lamm-Rivière system II: energy identity
Chang-Yu Guo, Wen-Juan Qi, Zhao-Min Sun +1
In this paper, we establish an angular energy quantization for the following fourth order inhomogeneous Lamm-Rivière system $$ Δ^2u=Δ(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdot\n…
-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…
Optimal higher regularity for biharmonic maps via quantitative stratification
Chang-Yu Guo, Gui-Chun Jiang, Chang-Lin Xiang +1
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 powe…