A class of nonlinear boundary value problems for the second-orderE2 class elliptic systems in general form |
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Authors: | Li Ming-zhong Xu Ding-hua |
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Affiliation: | (1) Department of Mathematics, Shanghai University, 200436 Shanghai, PR China;(2) Department of Computational Sciences, East China Institute of Technology, 344000 Fuzhou, Jiangxi, PR China |
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Abstract: | 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. Foundation items: the National Natural Science Foundation of China (19671056); Shanghai Municipal Natural Scientific Foundation (99ZA14030, 01ZA14023); Jiangxi Provincial Natural Scientific Foundation (981102, 0211014) Biographies: LI Ming-zhong (1935−); XU Ding-hua (1967−) |
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Keywords: | elliptic systems boundary value problems singular integral equations singular integral operators existence |
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