A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E2 CLASS ELLIPTIC SYSTEMS IN GENERAL FORM

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 163-181.

A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E₂ CLASS ELLIPTIC SYSTEMS IN GENERAL FORM

李明忠¹, 徐定华^1,2

1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China;
2. Department of Computational Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, P.R.China

收稿日期:2001-07-24 修回日期:2002-10-17 出版日期:2003-02-18 发布日期:2003-02-18
通讯作者: JIANG Fu-ru
基金资助:
the National Natural Science Foundation of China (19671056);Shanghai Municipal Natural Scientific Foundation (99ZA14030, 01ZA14023);Jiangxi Provincial Natural Scientific Foundation (981102, 0211014)

A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E₂ CLASS ELLIPTIC SYSTEMS IN GENERAL FORM

LI Ming-zhong¹, XU Ding-hua^1,2

1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China;
2. Department of Computational Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, P.R.China

Received:2001-07-24 Revised:2002-10-17 Online:2003-02-18 Published:2003-02-18
Supported by:
the National Natural Science Foundation of China (19671056);Shanghai Municipal Natural Scientific Foundation (99ZA14030, 01ZA14023);Jiangxi Provincial Natural Scientific Foundation (981102, 0211014)

摘要/Abstract

摘要： A class of nonlinear boundary value problems (BVP) for the second-order E₂ class elliptic systems in general form is discussed. By introducing a kind of transformation,this kind of BVP is reduced to a class of generalized nonlinear Riemann-Hilbert BVP. And then some singular integral operators are introduced to establish the equivalent nonlinear singular integral equations. The solvability is proved under some suitable hypotheses by means of the properties of singular integral operators and the function theoretic methods.

中图分类号:

李明忠;徐定华. A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E₂ CLASS ELLIPTIC SYSTEMS IN GENERAL FORM[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(2): 163-181.

LI Ming-zhong;XU Ding-hua. A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E₂ CLASS ELLIPTIC SYSTEMS IN GENERAL FORM[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(2): 163-181.

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A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E₂ CLASS ELLIPTIC SYSTEMS IN GENERAL FORM

A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E₂ CLASS ELLIPTIC SYSTEMS IN GENERAL FORM

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