非线性椭圆型偏微分方程边值问题正解的存在性

摘要

首先研究通过椭圆型偏微分方程歧点的连通分支的性质,然后得到椭圆型偏微分方程边值问题至少有一个正解存在结果.主要研究方法是全局分歧理论.%In this paper,the properties of the connected component containing the bifurcation points of a nonlinear elliptic partial differential equation is firstly studied.Then the existence of at least one positive solution for the boundary value problems of the equation is proved.The method to show our main results is the global bifurcation theol.