数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (4): 1202-1218.doi: 10.1016/S0252-9602(13)60074-0

• 论文 • 上一篇    

HÖLDER ESTIMATES FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS

宋巧珍|王立河|李东升   

  1. College of Science, Xi´an Jiaotong University, Xi´an 710049, China
    College of Mathematics, Luoyang Normal University, Luoyang 471022, China|Department of Mathematics, University of Iowa, IA 52246, USA|College of Science, Xi´an Jiaotong University, Xi´an 710049, China  
  • 收稿日期:2010-04-07 修回日期:2012-11-28 出版日期:2013-07-20 发布日期:2013-07-20
  • 基金资助:

    The third author was supported by the NSF of China (10771166).

HÖLDER ESTIMATES FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS

 SONG Qiao-Zhen, WANG Li-He, LI Dong-Sheng   

  1. College of Science, Xi´an Jiaotong University, Xi´an 710049, China
    College of Mathematics, Luoyang Normal University, Luoyang 471022, China|Department of Mathematics, University of Iowa, IA 52246, USA|College of Science, Xi´an Jiaotong University, Xi´an 710049, China
  • Received:2010-04-07 Revised:2012-11-28 Online:2013-07-20 Published:2013-07-20
  • Supported by:

    The third author was supported by the NSF of China (10771166).

摘要:

In this paper we study the regularity theory of the solutions of a class of degenerate elliptic equations in divergence form. By introducing a proper distance and applying the compactness method we establish the H¨older type estimates for the weak solutions.

关键词: degenerate elliptic equations, H¨older estimates, compactness method

Abstract:

In this paper we study the regularity theory of the solutions of a class of degenerate elliptic equations in divergence form. By introducing a proper distance and applying the compactness method we establish the H¨older type estimates for the weak solutions.

Key words: degenerate elliptic equations, H¨older estimates, compactness method

中图分类号: 

  • 35J70