A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE SECOND-ORDER E2 CLASS ELLIPTIC SYSTEMS IN GENERAL FORM |
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Authors: | LI Ming_zhong XU Ding_hua |
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Institution: | 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 |
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Abstract: | 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. |
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Keywords: | elliptic systems boundary value problems singular integral equations singular integral operators existence |
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