Regularity of harmonic maps with the potential

被引：0

作者：

CHU Yuming LIU Xiangao Department of Mathematics Huzhou Teachers College Huzhou China ^{[313000
]}

Institute of Mathematics Fudan University Shanghai China ^{[200433
]}

机构：

来源：

ScienceinChina(SeriesA:Mathematics) | 2006年 / 05期

关键词：

harmonic map; partial regularity; potential;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

<正>The aim of this work is to prove the partial regularity of the harmonic maps with potential. The main difficulty caused by the potential is how to find the equation satisfied by the scaling function. Under the assumption on the potential we can obtain the equation, however, for a general potential, even if it is smooth, the partial regularity is still open.

引用

页码：599 / 610

页数：12

共 7 条

[1] Heat flow for p-harmonic maps with small initial data [J].