Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: 12118381@bjtu.edu.cn
Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: shzhzheng@bjtu.edu.cn
Haiyan Yu, Shenzhou Zheng
Abstract:
In this article, we study estimates in Morrey spaces to the horizontal
gradient of weak solutions for a class of quasilinear sub-elliptic systems
of p-Laplace type with VMO coefficients under the controllable growth
over Carnot group if p is not too far from 2. We also show a local
Holder continuity with an optimal exponent to the solutions.
Submitted August 16, 2015. Published January 21, 2016.
Math Subject Classifications: 35H20, 35B65, 35D30.
Key Words: Subelliptic p-Laplace; VMO coefficients; controllable growth;
Morrey regularity; Carnot group.
Show me the PDF file (278 KB), TEX file for this article.
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Haiyan Yu Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: 12118381@bjtu.edu.cn |
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Shenzhou Zheng Department of Mathematics Beijing Jiaotong University Beijing 100044, China email: shzhzheng@bjtu.edu.cn |
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