从二维曲面到n维Riemann流形的弱调和映射的正则性  

Regularity on weakly harmonic maps from second dimension curved surface to n dimension Riemann manifold

作　　者：李关民[1] 吴会江[1] 王福忠[1] 

机构地区：[1]沈阳工程学院基础教学部,沈阳110136

出　　处：《沈阳工程学院学报（自然科学版）》2006年第2期182-186,共5页Journal of Shenyang Institute of Engineering:Natural Science

基　　金：辽宁省教育厅高等学校科研项目(2005287)

摘　　要：随着现代分析工具的不断完善和发展,有关方程弱解的正则性问题取得了一系列突破性进展,得到了许多完美的证明和结论.借助于几何上与分析上的精细刻画,并利用多复变理论,得到了从二维Riemann到n维紧Riemann流形的弱调和映射的正则性结果.With the development and improvement of modern analysis instrument, the question about regularity of equation weakly solution has made great progress and acquired many perfect conclusions. Gets the regularity on weakly harmonic maps from second dimension Riemann to n dimension compact Riemann manifold with the description in geometry and multi-complex variable theory.

关 键 词：n维紧Riemann流形 EULER方程 LORENTZ空间 Brezis嵌入定理 

分 类 号：O186.16[理学—数学]