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math.AP2020
Regularity of weak solutions to higher order elliptic systems in critical dimensions
Chang-Yu Guo, Chang-Lin Xiang
In this paper, we develop an elementary and unified treatment, in the spirit of Rivière and Struwe (Comm. Pure. Appl. Math. 2008), to explore regularity of weak solutions of higher…
math.AP2020
The Lamm-Riviere system I: regularity theory
Chang-Yu Guo, Chang-Lin Xiang, Gao-Feng Zheng
Motived by the heat flow and bubble analysis of biharmonic mappings, we study further regularity issues of the fourth order Lamm-Riviere system $$Δ^{2}u=Δ(V\cdot\nabla u)+{\rm div}…
math.CV2020
Generalized quasidisks and conformality: progress and challenges
Chang-Yu Guo, Haiqing Xu
In this notes, we survey the recent developments on theory of generalized quasidisks. Based on the more or less standard techniques used earlier, we also provide some minor improve…