A potential theory for the k-curvature equation | |
Dai, Qiuyi ; Wang, Xu-jia ; Zhou, Bin | |
2016 | |
关键词 | Curvature measure Subharmonic functions Weak continuity MONGE-AMPERE EQUATION COMPACT KAHLER MANIFOLD DIRICHLET PROBLEM PLURISUBHARMONIC-FUNCTIONS MEAN-CURVATURE OPERATOR BOUNDS |
英文摘要 | 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. (C) 2015 Elsevier Inc. All rights reserved.; NNSFC [11271120, 11101004]; ARC DECRA [120101167]; [ARC DP120102718]; [ARC FL130100118]; SCI(E); ARTICLE; qiuyidai@aliyun.com; xu-jia.wang@anu.edu.au; bin.zhou@anu.edu.au; 791-824; 288 |
语种 | 英语 |
出处 | SCI |
出版者 | ADVANCES IN MATHEMATICS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/438774] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Dai, Qiuyi,Wang, Xu-jia,Zhou, Bin. A potential theory for the k-curvature equation. 2016-01-01. |
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