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20242026
most citedOptimal higher regularity for biharmonic maps via quantitative stratification

1 citations · 1 across the 4 of their papers we have counts for

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6 papers

math.AP2026

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…

math.AP2025

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…

math.DG2025

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…

math.AP2025

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…

math.AP2024

-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…

math.AP2024★ 1 cited

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…