【摘要】 <正> §1.问题的提法本文研究形如下的一类多个未知函数的二阶非线性椭圆型复方程组更多还原

【Abstract】 Let D be an （N+1）—Connected bounded domain with boundary Γ∈C_μ²（0<μ<1）in the z- Plane. We suppose that the nonlinear elliptic srstem of second order. ■satisfies the Condition C in the bounded domain D.The nonlinear bounday value prodlem for sy. （1） （Problem P） is formulated, as follows: find a solution ω（z）∈[W_P².（D）]ⁿ of sy. （1） in D, which satisfies the boundary condition:R_e[（?）U^（h）（t）]=β_（h）(t,ω,U^（1）,U^（1）), t∈Γ, h=1,2, （2） where λ^（h）（t）, β^（h）, (t,ω,U^（1）, U^（2）) Satisfy Condition C and U^（1）（z）=ω_E, U^（1）（z）=W_z.The main theorem. Suppose that sy. （1） Satisfies Candition C and constant ε in Condition C is sufficiently small, then we here the following solvability of the Problem P:（Ⅰ） When indices K_k^（1）≥N, K_k^（2）≥N（k=1, 2,…,n）, the total number of the solvability conditions for Problem P is not greater than 2nN.（Ⅱ） When indices 0≤K_k^（1）<N, K_k^（2）<0（k=1,2,…n）, the total number of the solvabiljty conditions for Problem P is not greater than■Similarly, we can also give that total number of the solrability conditionsfor Problem P, when indices■更多还原