Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503022 | Journal of Mathematical Analysis and Applications | 2005 | 11 Pages |
Abstract
We consider the removability of singular sets for the curvature equations of the form Hk[u]=Ï, which is determined by the kth elementary symmetric function, in an n-dimensional domain Ω. We prove that, for 1⩽k⩽nâ1 and a compact set K whose (nâk)-dimensional Hausdorff measure is zero, any generalized solution to the curvature equation on ΩâK is always extendable to a generalized solution on the whole domain Ω.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kazuhiro Takimoto,