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math.AP2018
The distributional hyper-Jacobian determinants in fractional Sobolev spaces
Qiang Tu, Chuanxi Wu, Xueting Qiu
In this paper we give a positive answer to a question raised by Baer-Jerison in connection with hyper-Jacobian determinants and associated minors in fractional Sobolev spaces. Insp…
math.AP2018
Cartesian currents in fractional Sobolev spaces and applications to functions of bounded higher variation
Qiang Tu, Chuanxi Wu
In this paper we establish weak continuity results for the distribution Jacobian minors in fractional sobolev spaces, which can be seen as a extension of recent work of Brezis and…