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A potential theory for the k-curvature equation

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Date

2016

Authors

Dai, Qiuyi
Wang, Xu-Jia
Zhou, Bin

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press

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.

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Keywords

Citation

URI

http://hdl.handle.net/1885/103386

Collections

ANU Research Publications

Source

Advances in Mathematics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.aim.2015.11.003

Restricted until

2037-12-31

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