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A potential theory for the k-curvature equation

Dai, Qiuyi; Wang, Xu-Jia; Zhou, Bin


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.

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2015.11.003


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