A potential theory for the k-curvature equation

详细信息    查看全文

• 作者：Qiuyi Daip>ap>p> ; p>p>qiuyidai@aliyun.com" class="auth_mail" title="E-mail the corresponding authorp> ; Xu-jia Wangp>bp>p> ; p>p>xu-jia.wang@anu.edu.au" class="auth_mail" title="E-mail the corresponding authorp> ; Bin Zhoup>cp>p> ; p>p>bp>p> ; p>p>bin.zhou@anu.edu.au" class="auth_mail" title="E-mail the corresponding authorp>
• 关键词：primary ; 35J60 ; secondary ; 35D40
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：22 January 2016
• 年：2016
• 卷：288
• 期：Complete
• 页码：791-824
• 全文大小：544 K

文摘

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.