数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 196-202.

• 论文 • 上一篇    下一篇

REGULARITY FOR CERTAIN QUASILINEAR ELLIPTIC SYSTEMS OF DIVERGENCE STRUCTURE

 周树清, 冉启康   

  1. Applied Mathematics Department, Shanghai Jiao Tong University, Shanghai 200240, China
  • 出版日期:2001-04-07 发布日期:2001-04-07
  • 基金资助:

    Supported by the National Natural Science Foundation of China ( 19531060 ) and by the National Educational Committee’s Doctor Program Funds of China (97024811).

REGULARITY FOR CERTAIN QUASILINEAR ELLIPTIC SYSTEMS OF DIVERGENCE STRUCTURE

 ZHOU Shu-Qing, RAN Qi-Kang   

  1. Applied Mathematics Department, Shanghai Jiao Tong University, Shanghai 200240, China
  • Online:2001-04-07 Published:2001-04-07
  • Supported by:

    Supported by the National Natural Science Foundation of China ( 19531060 ) and by the National Educational Committee’s Doctor Program Funds of China (97024811).

摘要:

The regularity of the gradient of H¨older continuous solutions of quasi-linear elliptic systems of the form
−Dj (aij(x, u,Du)Diuk) = −Difi
k + gk
is investigated. Partial regularity and "-regularity are shown to hold under the structural assumption −Dj (aij(x, u,Du)) = hi 2 L1

关键词: Partial regulrity, regularity and elliptic systems

Abstract:

The regularity of the gradient of H¨older continuous solutions of quasi-linear elliptic systems of the form
−Dj (aij(x, u,Du)Diuk) = −Difi
k + gk
is investigated. Partial regularity and "-regularity are shown to hold under the structural assumption −Dj (aij(x, u,Du)) = hi 2 L1

Key words: Partial regulrity, regularity and elliptic systems

中图分类号: 

  • 35J65