Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (4): 656-667.

Previous Articles     Next Articles

der Continuity of the Gradients of Weak Solutions to A-Harmonic Equation with Variable Exponents

Tong Yuxia1,2, Zheng Shenzhou1, Yu Haiyan3   

  1. 1 Department of Mathematics, Beijing Jiaotong University, Beijing 100044;
    2 College of Science, North China University of Science and Technology, Hebei Tangshan 063009;
    3 College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao, Inner Mongolia 028043
  • Received:2014-05-26 Revised:2015-01-21 Online:2015-08-25 Published:2015-08-25

Abstract:

This paper mainly concerns A-harmonic equation div A(x,▽u)=B(x,▽u) with variable exponents. We give local Hölder continuity of the gradients of weak solutions.

Key words: der continuity, Elliptic equation, Variable exponents

CLC Number: 

  • O175.5
Trendmd