Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (6): 1841-1860.doi: 10.1016/S0252-9602(17)30111-X

• Articles • Previous Articles     Next Articles

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).

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

Trendmd