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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}…