Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (2): 196-202.

• Articles • Previous Articles     Next Articles

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).

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

CLC Number: 

  • 35J65
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