Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (3): 254-263.

Previous Articles     Next Articles

C1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Tan zhong   

  1. Department of Mathematics, Xiamen University, Xianmen 361005, China
  • Received:1991-07-05 Revised:1992-11-14 Online:1995-09-25 Published:1995-09-25

Abstract: We prove C1,α-partial regularity of weak solutions of nonlinear elliptic systems
a=1nDaAia(x,u,Du)=Bi(x,u,Du) i=1,…,N under the main assumption that Aia and Bi satisfy the controllable growth condition or the natural growth condition.

Key words: nonlinear elliptic systems, controllable growth condition, natural growth condition, partial regularity

Trendmd