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arXiv 2017-03-05 1 views

A potential theory for the k-curvature equation

Dai, Qiuyi · Wang, Xu-jia · Zhou, Bin

Original · EN

In this paper, we introduce a potential theory for the k-curvature equation, which can also be seen as a PDE approach to curvature measures. We assign a measure to a bounded, upper semicontinuous function which is strictly subharmonic with respect to the k-curvature operator, and establish the weak continuity of the measure.

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