中文摘要：

本文利用schaefer’s不动点定理证明了一个半线性椭圆方程-△u=｜u｜^η-1u的非平凡解的存在性．

英文摘要：

In this paper,we obtain a theorem about semilinear elltiptic equation - △u = ｜u ｜P-1u through used schaefer＇s fixed theorem, this result broadened our vision and knowledge about the equation.