SINGULAR SETS OF SOLUTIONS TO ELLIPTIC-EQUATIONS

被引：57

作者：

HAN, Q

机构：

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1994年 / 43卷 / 03期

关键词：

D O I：

10.1512/iumj.1994.43.43043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the structure of the singular sets of solutions to elliptic differential equations in R(n), the subsets where the solutions, with their gradients, vanish. We prove that such sets are countably (n - 2)-rectifiable under the assumption that the solutions vanish at finite order. We construct the tangent spaces for all points in the singular sets.

引用

页码：983 / 1002

页数：20