收稿日期: 2012-12-05
修回日期: 2013-03-29
网络出版日期: 2014-01-15
基金资助
Supported by National Natural Science Foundation of China(11271299, 11001221) and Northewstern Polytechnical University jichu yanjiu jijin tansuo xiangmu(JC201124)
Interior Morrey estimates for divergence degenerate elliptic systems in Carnot groups
Received date: 2012-12-05
Revised date: 2013-03-29
Online published: 2014-01-15
Supported by
Supported by National Natural Science Foundation of China(11271299, 11001221) and Northewstern Polytechnical University jichu yanjiu jijin tansuo xiangmu(JC201124)
朱茂春 , 冯晓晶 . Carnot群上散度型退化椭圆方程组的内Morrey估计[J]. 中国科学院大学学报, 2014 , 31(1) : 10 -16 . DOI: 10.7523/j.issn.2095-6134.2014.01.003
Let X1,…,Xq be the basis of the space of horizontal vector fields on a homogeneous Carnot group G =(R n,o) (q<n). The interior Morrey estimates for weak solutions to the following divergence degenerate elliptic system
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are obtained when the coefficients aαβij satisfy the strong Legendre condition in Ω⊂ G and belong to the space VMOloc(Ω).
Key words： Carnot group; subelliptic systems; Morrey estimates
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