A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E2 CLASS ELLIPTIC SYSTEM

A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E2 CLASS

ELLIPTIC SYSTEMS IN GENERAL FORM

李明忠; 徐定华

【期刊名称】《《应用数学和力学（英文版）》》 【年(卷),期】2003(024)002

【摘要】A class of nonlinear boundary value problems(BVP) for the second-order E2 class elliptic systems itt 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. 【总页数】19页(163-181)

【关键词】elliptic systems; boundary value problems; singular integral equations; singular integral operators; existence 【作者】李明忠; 徐定华

【作者单位】Department of Mathematics Shanghai University Shanghai 200436 P.R. China; Depatment of Computational Sciences East Chna Institute of Technology Fuzhou Jiangxi 344000 P.R.China 【正文语种】中文