Optimal partial regularity for quasilinear elliptic systems with VMO coefficients based on A-harmonic approximations

In this article, we consider quasi-linear elliptic systems in divergence form with discontinuous coefficients under controllable growth. We establish an optimal partial regularity of the weak solutions by a modification of A-harmonic approximation argument introduced by Duzaar and Grotowski.

Bibliographic Details
Main Authors: Haiyan Yu, Shenzhou Zheng
Format: Article
Language:English
Published: Texas State University 2015-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/16/abstr.html