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	The Riemann-Hilbert problem for degenerate elliptic complex equations and its application
	Wen, Guochun
	2014
关键词	elliptic complex equations two degenerate lines Riemann-Hilbert problem existence of solutions Holder continuity of singular integral quasi-conformal mapping 35J70 35J55 30C60
英文摘要	This article deals with some elliptic complex equations of first order, i.e. the generalized Beltrami equation with two degenerate lines in multiply connected domains. We first propose the Riemann-Hilbert problem and give estimates of solutions for the boundary value problem. Afterwards by using the method of parameter extension, the existence of continuous solutions for the generalized Beltrami equation is verified. Finally, we shall prove the existence of a homeomorphic solution of the Beltrami equation with two degenerate lines from the multiply connected domain D onto the rectilinear slit domain. In the article, the Holder continuity of a singular double integral is applied. The above problem possesses important applications to boundary value problem of mixed type equations.; Mathematics; SCI(E); 0; ARTICLE; wengc@math.pku.edu.cn; 8; 1156-1168; 59
语种	英语
出处	SCI
出版者	complex variables and elliptic equations
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157310]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wen, Guochun. The Riemann-Hilbert problem for degenerate elliptic complex equations and its application. 2014-01-01.

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