The signed mean curvature measure

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

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The signed mean curvature measure

Date

2015

Authors

Dai, Qiuyi

Wang, Xu Jia

Zhou, Bin

Abstract

In this paper, we study the prescribed mean curvature equation of which the right hand side is a signed measure. We prove the weak continuity of the mean curvature operator and the existence of weak solutions to the Dirichlet problem.