A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E_2 CLASS ELLIPTIC SYSTEMS IN GENERAL FORM  

作　　者：李明忠 徐定华 

机构地区：[1]DepartmentofMathematics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第2期163-181,共19页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina( 19671056)ShanghaiMunicipalNaturalScientificFoundation(99ZA14030,01ZA14023)JiangxiProvincialNaturalScientificFoundation(981 1 0 2,0 211014)

摘　　要：A class of nonlinear boundary value problems(BVP) for the second_order E 2 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.A class of nonlinear boundary value problems(BVP) for the second_order E 2 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.

关 键 词：elliptic systems boundary value problems singular integral equations singular integral operators EXISTENCE 

分 类 号：O175.25[理学—数学] O175.8[理学—基础数学]