一类半线性椭圆型方程组正解的存在性

Existence of Positive Solution for Certain Semilinear Elliptic Systems

利用上下解方法研究了一类半线性椭圆型方程组正解的存在性问题,在一定条件下得到了方程组解的存在性,且当参数λ,θ充分大时方程组的解总是存在的.

In this paper, we studied the positive solutions for certain semilinear elliptic systems with up-lower solutions method, we obtain a result for the existence of positive solutions for such systems with certain condition, and the solution is always exists when the parameters λ,θ are large enough