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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