Regularity results for the generalized Beltrami system

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	Regularity results for the generalized Beltrami system
	Zheng, SZ
	2004-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:2 页码:293-304
摘要	For the generalized Beltrami system with two characteristic matrices, we deal with the regularity of its very weak solutions in the Sobolev class W-loc(1,r) (Omega, R-n) (1 < r < n). By changing the generalized Beltrami system into a class of a divergent elliptic system with nonhomogeneous items, we obtain that each of its very weak solutions is essentially a classical weak solution of a usual Sobolev class. Furthermore, we also establish a higher regularity of its weak solution if the regularity hypotheses of two characteristic matrices are improved.
关键词	weakly K-quasiregular generalized Beltrami system very weak solutions Hodge decomposition generalized reverse Holder inequality
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222607700011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19200
专题	中国科学院数学与系统科学研究院
通讯作者	Zheng, SZ
作者单位	1.No Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, SZ. Regularity results for the generalized Beltrami system[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(2):293-304.
APA	Zheng, SZ.(2004).Regularity results for the generalized Beltrami system.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(2),293-304.
MLA	Zheng, SZ."Regularity results for the generalized Beltrami system".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.2(2004):293-304.