Dai, QiuyiWang, Xu-JiaZhou, Bin2016-06-140001-8708http://hdl.handle.net/1885/103386In 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.201610.1016/j.aim.2015.11.0032016-06-14