有界洞型区域内一类半线性椭圆方程组的正解

The Existence of Positive Solutions of Semilinear Elliptic Systems

利用不动点定理和Leray-schauder度性质,证明了一类半线性椭圆方程组在洞型区域内正解的存在性与唯一性,并将有界洞型区域扩展到更一般的情形。

In this paper, our main purpose is to establish the existence of positive solutions of semilinear elliptic systems. The results of this paper are new and extend previously known results.