半线性椭圆型方程组解的存在性

Existence of Solutions for Systems of Semmmillinear Elliptic Equations

对于半线性椭圆边值问题（其中非线性项ｆ和ｇ的增长限制很不相同。ｆ是超线性的，ｇ是渐近线性的），利用拓扑度理论等工具，得到了几个解的存在性定理。此外，考虑了关于ｕ、ｖ的边界条件不统一的情况。

This paper is a continjation of the reference paper[1]. Considering the following boundaryprohlem △u+f(x,u,v)=0,△v+g(x,u,v)=0,x∈Ω, B_1(u)=0,B_2(v)=0,where the nonlinear term f is superlinear and g satisfies the conditions of asymptotical linear,by usingthe metheds of the topology degree theory,The paper get some existence results and the case in which theboundary conditions B_1(u)and B_2(v)are different types is also consiuered.