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The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains
Authors:Guo-chun Wen
Affiliation:1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China
Abstract:In this article, we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order (0.1) $w_{zbar z} = F(z,w,w_z ,bar w_z ,w_{zz} ,bar w_{zz} ) + G(z,w,w_z ,bar w_z )inD$ , with the boundary conditions ></img>                                </span>                              </span> in a multiply connected unbounded domain <em>D</em>. 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).</td>
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Keywords:Oblique derivative problem   nonlinear elliptic complex equation   multiply connected unboundeddomain.
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