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The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains

The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains
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摘要 In this article,we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order with the boundary conditions in a multiply connected unbounded domain D.The above boundary value problem will be called Problem P.Under certain conditions,by using the priori estimates of solutions and Leray-Schauder fixed point theorem,we can obtain some results of the solvability for the above boundary value problem(0.1) and(0.2). In this article,we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order with the boundary conditions in a multiply connected unbounded domain D.The above boundary value problem will be called Problem P.Under certain conditions,by using the priori estimates of solutions and Leray-Schauder fixed point theorem,we can obtain some results of the solvability for the above boundary value problem(0.1) and(0.2).
作者 WEN Guo-chun
机构地区 LMAM
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2013年第2期127-137,共11页 高校应用数学学报(英文版)(B辑)
关键词 Oblique derivative problem nonlinear elliptic complex equation multiply connected unboundeddomain. Oblique derivative problem, nonlinear elliptic complex equation, multiply connected unboundeddomain.
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参考文献6

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