Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1397-1407.

• Articles • Previous Articles     Next Articles

Interior HÖlder Estimate to Semilinear Subelliptic Equations Under the Natural Growth

 WANG Jie1, YU Hai-Yan1,2, ZHENG Shen-Zhou1   

  1. 1.School of Science, Beijing Jiaotong University, Beijing 100044|
    2.College of Mathematics, Inner Mongolia Unversity for Nationalities, Inner Mongolia Tongliao 028043
  • Received:2013-11-14 Revised:2014-10-28 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    国家自然科学基金(11371050)资助.

Abstract:

For the bounded weak solution of a class of semilinear subelliptic equations under the natural growth, we prove an interior HÖlder continuity estimate by way of establishing the modified Moser-Nash iterations and weak Harnack inequality.

Key words: Natural growth, Moser-Nash iteration, Weak Harnack inequality,  HÖlder estimate

CLC Number: 

  • 35J60
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