journal6 ›› 2003, Vol. 24 ›› Issue (3): 3-5.

• Mathematics • Previous Articles     Next Articles

Regularity of Weak Solutions to a Class of Non-Homogeneous A-Harmonic Systems

  

  1. (1.Dept. of Math.,Hunan Normal Univ.,Changsha 410081,Hunan China;2.Phy. and Math. of Wuhan Inst.,Chinese Acad. of Sci.,Wuhan 430071,Hubei
     China)
  • Online:2003-09-15 Published:2012-11-07

Abstract: This paper studies non-homogeneous A-harmonic systems of divergence form-DαAαi(x,u,Du)+Bi(x,u,Du)=0(i=1,…,N),satisfying p(1<p≤n),power controllable growth conditions.By constructing reverse Hlder inequlity,local W1,q-regularity and Hlder continuity of the weak solutions to above systems are obtained.

Key words: non-homogeneous A-harmonic;local W1, q-regularity;local Hlder continuity;reverse Hlder inequlity

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