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THE IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
作者姓名:WEN  Guochun
作者单位:WEN Guochun(Department of Mathematics,Peking University,Beijing 100871,China)ZHAO Chun(Department of Mathematics,Ninyxia University,Yinchuan 750021,China)
摘    要:1.TheirregularObliqueDerivativeProblemanditsWell-PosednessforNonlinearEllipticSystemsLabDbean(N 1)-connectedboundeddomaininthez=x ic-planeCwithboundaryFECI(0

THE IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER
WEN Guochun.THE IRREGULAR OBLIQUE DERIVATIVE PROBLEM FOR NONLINEAR ELLIPTIC SYSTEMS OF SECOND ORDER[J].Journal of Systems Science and Complexity,1998(4).
Authors:WEN Guochun
Abstract:This paper deals with the irregular oblique derivative boundary value problemfor nonlinear elliptic systems of second order equations in multiply connected domains.Firstly the well-posedness of the irregUlar oblique derivative problem and an a priori es- timate of solutions for the modified boundary value problem are given, afterwards theexistence of solutions for the modified boundary value problem is proved by using theabove estimates of solutions and the Schauder fixed-point theorem. Finally the solVabilityconditions of the original boundary value problem can be derived.
Keywords:Irregular oblique deriVative problem  elliptic systems of second order  mult-ply connected domains
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