4 papers
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…
A note on weak compactness of -Yang-Mills connections
Chang-Yu Guo, Chang-Lin Xiang
In this note, applying a compensation compactness argument developped by Chen and Giron (arXiv.2108.13529) on Yang-Mills fields, we extends their weak continuity result to the more…
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 $$ Î^2u=Î(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdo…
-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…