A potential theory for the k-curvature equation
Analysis of PDEs
2017-03-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1703.01607,
title = {A potential theory for the k-curvature equation},
author = {Qiuyi Dai and Xu-jia Wang and Bin Zhou},
journal= {arXiv preprint arXiv:1703.01607},
year = {2017}
}