Electron. J. Diff. Equ., Vol. 2015 (2015), No. 16, pp. 1-12.

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

Haiyan Yu, Shenzhou Zheng

Abstract:
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.

Submitted August 6, 2014. Published January 20, 2015.
Math Subject Classifications: 35J60, 35B65, 35D30.
Key Words: VMO coefficients; controllable growth; A-harmonic approximation

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Haiyan Yu
Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: 12118381@bjtu.edu.cn
Shenzhou Zheng
Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: shzhzheng@bjtu.edu.cn

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