Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1160-1166.

• Articles • Previous Articles     Next Articles

The Method of Green Function for a Holder Continuity of Elliptic Equations with Divergence

  

  1. College of Sciences, Beijing Jiaotong University, Beijing 100044
  • Received:2007-08-11 Revised:2008-09-12 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10671022)资助

Abstract:

According to the estimates and comparison of Green function of nonlinear elliptic operators with Laplacian operators, the authors  establish locally H\"older continuity  for a class of nonlinear elliptic equations with divergence under the condition of natural growth.

Key words: Nonlinear elliptic operators, Green function, Natural growth, Hole-filling technique, Morreys Lemma

CLC Number: 

  • 35B65
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