1 citations · 1 across the 5 of their papers we have counts for
5 papers
Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions
Chang-Yu Guo, Changyou Wang, Chang-Lin Xiang
Energy identity for harmonic type maps in supercritical dimensions is an important and difficult problem. For sphere-valued harmonic maps, the first breakthrough was achieved by Li…
Quantitative stratification and global regularity for 1/2-harmonic mappings
Changyu Guo, Guichun Jiang, Changyou Wang +2
In this paper, we extend the celebrated global regularity theory of Naber-Valtorta [Ann. Math. 2017] to 1/2-harmonic mappings into manifolds. Inspired by their work, we first adapt…
Sharp Morrey regularity for an even order elliptic system
Chang-Yu Guo, Wen-Juan Qi
In this short note, we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type: \begin{equation*} Δ^{m}u=\sum_{l=0}^{m-1}Δ^{l}\left\langle V_{l…
Conservation law of harmonic mappings in supercritical dimensions
Chang-Yu Guo, Chang-Lin Xiang
In this short note, we provide a partial extension of Rivière's convervation law in higher dimensions under certain Lorentz integrability condition for the connection matrix. As an…
-harmonic mappings between metric spaces
Chang-Yu Guo, Manzi Huang, Zhuang Wang +1
In this paper, we solve the Dirichlet problem for Sobolev maps between singular metric spaces that extends the corresponding result of Guo and Wenger [Comm. Anal. Geom. 2020]. The…