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math.AP2023
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…
math.AP2023
Sharp Morrey regularity theory for a fourth order geometrical equation
Chang-Lin Xiang, Gao-Feng Zheng
This paper is a continuation of the recent work of Guo-Xiang-Zheng \cite{Guo-Xiang-Zheng-2021-CV}. We deduce sharp Morrey regularity theory for weak solutions to the fourth order n…