Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 432-439.

• Articles • Previous Articles     Next Articles

Regularity of Very Weak Solutions for a Class of Quasilinear Subelliptic Equations

 ZHENG Shen-Zhou, WANG Xi-Fen   

  1. College of Sciences, Beijing Jiaotong University, Beijing 100044
  • Received:2008-12-29 Revised:2009-11-08 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10671022)资助.

Abstract:

According to the construction of generalized reverse Hölder inequality by Hodge decomposition and estimates on disturbing vector fields, the authors obtain the improvement of integrability of very weak solutions of quasilinear subelliptic equations on Carnot group.

Key words: Subelliptic operators, Very weak solutions, Carnot-Caratheodorys spaces,  Hodge decomposition, Reverse Holder inequality

CLC Number: 

  • 35J60
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