夹逼准则与微分方程的上下解方法

Squeeze Rule and the Upper and Lower Solutions Method for Differential Equation

引进微分方程上下解的概念,应用极限夹逼准则思想,以椭圆型偏微分方程为例,用上解与下解来夹逼证明了半线性椭圆型偏微分方程边值问题解的存在性。

This article introduces the Upper and Lower Solutions Method for differential equations, applicationing limit squeeze rule and taking elliptic partial differential equations as an example. It adopts the Upper and Lower Solution to prove the Semi-linear elliptic differential equation of the existence of the boundary value problems.