数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1841-1860.doi: 10.1016/S0252-9602(17)30111-X

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UNIFORM HÖLDER ESTIMATES FOR A TYPE OF NONLINEAR ELLIPTIC EQUATIONS WITH RAPIDLY OSCILLATORY COEFFICIENTS

董荣, 李东升   

  1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2016-04-14 修回日期:2016-10-03 出版日期:2017-12-25 发布日期:2017-12-25
  • 作者简介:Rong DONG,dr519619@stu.xjtu.edu.cn;Dongsheng LI,lidsh@mail.xjtu.edu.cn
  • 基金资助:

    This paper is supported by NSF of China (11671316).

UNIFORM HÖLDER ESTIMATES FOR A TYPE OF NONLINEAR ELLIPTIC EQUATIONS WITH RAPIDLY OSCILLATORY COEFFICIENTS

Rong DONG, Dongsheng LI   

  1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2016-04-14 Revised:2016-10-03 Online:2017-12-25 Published:2017-12-25
  • Supported by:

    This paper is supported by NSF of China (11671316).

摘要:

In this paper, a type of nonlinear elliptic equations with rapidly oscillatory coefficients is investigated. By compactness methods, we show uniform Hölder estimates of solutions in a C1 bounded domain.

关键词: Hölder estimates, nonlinear elliptic equations, homogenization

Abstract:

In this paper, a type of nonlinear elliptic equations with rapidly oscillatory coefficients is investigated. By compactness methods, we show uniform Hölder estimates of solutions in a C1 bounded domain.

Key words: Hölder estimates, nonlinear elliptic equations, homogenization