Discontinuous irregular oblique derivative problems for nonlinear elliptic equations of second order

被引：0

作者：

Wen, Guochun ^{[1
]}

Xu, Zuoliang ^{[2
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2008年 / 27卷 / 03期

基金：

中国博士后科学基金;

关键词：

nonlinear elliptic equaitons; discontinuous irregular oblique derivative problems; complex analytic method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the discontinuous irrregular oblique derivative problems (or discontinuous Poincare boundary value problems) for nonlinear elliptic equaitons of second order in multiply connected domains are discussed by using a comples analytic method. Firstly the uniqueness of solutions for such boundary value problems is proved and a priori estimates of their solutions are given, and then by the Leray-Schauder theorem, the existence of solutions of the above problems is verified. As a special case the resutl about the continuous irregular oblique derivative problem for the nonliear equations is derived.

引用

页码：301 / 314

页数：14

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