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