期刊文献+

一类非齐次A-调和方程组很弱解的正则性 被引量:6

REGULARITY FOR VERY WEAK SOLUTIONS TO A CLASS OF NON-HOMOGENEOUS A-HARMONIC SYSTEMS
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摘要 本文应用Hodge分解定理,得到了非齐次A-调和方程组 -Di(Aij(x,u,Du))+Bj(x,u,Du)=0,j=1,…,m的很弱解的局部W1,q-正则性,从而推广了文献[6-8]有关的结果. Using Hodge decomposition theorem, this paper obtains W1,q -regularity for very weak solutions to non-homogeneous A-harmonic systems-Di(Aij(x,u,Du))+Bj(x,u,Du) = 0, j = 1,… ,m and generalizes the corresponding results in [6-8].
作者 周树清
出处 《数学年刊(A辑)》 CSCD 北大核心 2002年第3期283-288,共6页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.19531060) 国家教委博士点基金(No.97024811)资助的项目.
关键词 非齐次A-调和方程组 HODGE分解 局部W^1 q_正则性 Non-homogeneous A-harmonic systems, Hodge decomposition, W1,q-regularity
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参考文献15

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同被引文献60

  • 1周树清,高红亚,朱焕然.一类拟线性椭圆方程的很弱解的唯一性[J].数学年刊(A辑),2007,28(1):121-130. 被引量:10
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