SOME BOUNDARY VALUE PROBLEMS FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER IN HIGH DIMENSIONAL DOMAINS1

被引：0

作者：

Chen, De-Chang ^{[1
]}

Wen, Guo-Chun ^{[2
]}

机构：

[1] Uniformed Serv Univ Hlth Sci, Bethesda, MD 20814 USA

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

来源：

BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS | 2011年

关键词：

D O I：

10.1142/9789814327862_0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly concerns oblique derivative problems for nonlinear non divergent elliptic systems of several second order equations with measurable coefficients in a multiply connected domain. Firstly, we give a priori estimates of solutions for the above boundary value problems with some conditions, and then by using the above estimates of solutions and the Leray-Schauder theorem, the existence of solutions for the above problems is proved. Keywords: Oblique derivative problems, nonlinear elliptic systems, high dimensional domain. AMS No: 35J65, 35J55, 35J45.

引用

页码：12 / 21

页数：10

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