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›› 2014, Vol. 31 ›› Issue (1): 10-16.DOI: 10.7523/j.issn.2095-6134.2014.01.003

• Research Articles • Previous Articles     Next Articles

Interior Morrey estimates for divergence degenerate elliptic systems in Carnot groups

ZHU Maochun, FENG Xiaojing   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
  • Received:2012-12-05 Revised:2013-03-29 Online: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)

Abstract:

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
10???
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

CLC Number: