| Nonlinear Riemann Problem for Nonlinear Elliptic Systems in Sobolev Space W_(1,p)(D) |
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| 作者姓名： | 宋洁 李明忠 |
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| 作者单位： | Mathematics of Department，East China University of Science and Technology，Shanghai 200237，P.R. China，Department of Mathematics，College of Sciences，Shanghai University，Shanghai 200444，P.R. China |
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| 基金项目： | theScienceFoundationofShanghaiMunicipalCommissionofSacienceandTechnology(GrantNo.01ZA14023) |
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| 摘 要： | 1 Introduction Manyproblemsinmechanicsandmechanicalengineeringmaybeformulatedintoboundaryvalueproblemsforfirstorsecondorderellipticsystems,whichwerestudiedbylotsofscholars(seeRefs.1-9]).InthispaperwediscussthenonlinearRiemannproblemfornonlinearellipticsystemsintheSobolevspaceW1,p(D).2 StatementoftheProblem LetD+beadomainwithasmoothboundaryγ,andΓbeanothersmoothboundarycontainingD+andγinitsinteriorinthecomplexzplane.D-isthedomainclosedbyΓandoutsideγ.DenoteD=D++D-. ProblemR Fin…
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Nonlinear Riemann Problem for Nonlinear Elliptic Systems in Sobolev Space W_(1,p)(D) |
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| SONG Jie,LI Ming-zhong . Mathematics of.Nonlinear Riemann Problem for Nonlinear Elliptic Systems in Sobolev Space W_(1,p)(D)[J].Journal of Shanghai University(English Edition),2005(1). |
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| Authors: | SONG Jie LI Ming-zhong Mathematics of |
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| Institution: | SONG Jie1,LI Ming-zhong2 1. Mathematics of Department,East China University of Science and Technology,Shanghai 200237,P.R. China 2. Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R. China |
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| Abstract: | ? The nonlinear Riemann problems were converted into nonlinear singular integral equ ations and the existence of the solution for the problem was proved by means of contract principle. |
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| Keywords: | nonlinear Riemann problem nonlinear elliptic systems singular inte gral equations contract principle |
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