QQ客服 官方微博 反馈留言

	WELL-POSEDNESS OF DISCONTINUOUS BOUNDARY-VALUE PROBLEMS FOR NONLINEAR ELLIPTIC COMPLEX EQUATIONS IN MULTIPLY CONNECTED DOMAINS
	Wen, Guo-Chun
	2013
关键词	Well-posedness discontinuous boundary value problem nonlinear elliptic complex equation A priori estimate existence of solutions
英文摘要	In the first part of this article, we study a discontinuous Riemann-Hilbert problem for nonlinear uniformly elliptic complex equations of first order in multiply connected domains. First we show its well-posedness. Then we give the representation of solutions for a modified Riemann-Hilbert problem for the complex equations. Then we obtain a priori estimates of the solutions and verify the solvability of the modified problem by using the Leray-Schauder theorem. Then the solvability of the original discontinuous Riemann-Hilbert boundary-value problem is obtained. In the second part, we study a discontinuous Poincare boundary-value problem for nonlinear elliptic equations of second order in multiply connected domains. First we formulate the boundary-value problem and show its new well-posedness. Next we obtain the representation of solutions and obtain a priori estimates for the solutions of a modified Poincare problem. Then with estimates and the method of parameter extension, we obtain the solvability of the discontinuous Poincare problem.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE
语种	英语
出处	SCI
出版者	electronic journal of differential equations
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314322]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wen, Guo-Chun. WELL-POSEDNESS OF DISCONTINUOUS BOUNDARY-VALUE PROBLEMS FOR NONLINEAR ELLIPTIC COMPLEX EQUATIONS IN MULTIPLY CONNECTED DOMAINS. 2013-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。