在R^(2)中半线性椭圆型方程的正整解

Positive Entire Solution of Semilinear Elliptic Equation in R^(2)

本文以Schauder-Tychonoff不动点定理为工具，应用上、下解方法研究在中的半线性椭圆型方程的整解的存在性及解在无穷远的性质，推广了文献[1]的理论和应用。

In this paper, by the method of Supersolution-Subsolution, we study the existence of positive entive solutions of semilinear elliptic equations in R2 with the Schauder-Tychonoff fixed point theorem as the principal tool, presents the property of the Solutions at infinity, extends the theory and appliance of paper [1]. Keyword: positive entire Solution; locally Hlder continuous; closed convex subset; fixed point theorem