Acta mathematica scientia,Series B ›› 1992, Vol. 12 ›› Issue (1): 33-41.

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C1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

Yan Shusen, Li Gongbao   

  1. Inst. of Math Sci., Academia Sinica, Wuhan 430071, China
  • Received:1989-12-30 Online:1992-03-25 Published:1992-03-25
  • Supported by:
    Supported by Youth Foundation, NSFC.

Abstract: We use the blow-up method to get the C1,α partial regularity results for the following elliptic systems satisfying natural growth conditions:
-DαAαi(x,u,Du)=Bi(x,y,Du),xΩ,i=1,…,N,uW1,q(Ω,RN)∩L(Ω,RN),q ≥ 2.

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