一类半线性椭圆型方程正整体解的存在性  

EXISTENCE OF POSITIVE GLOBAL SOLUTION FOR A SEMILINEAR ELLIPTIC EQUATION

作　　者：桂咏新[1] 谢凤繁[2] 严国义[3] 郭玉劲[4] 

机构地区：[1]华东师范大学数学系,上海200062 [2]咸宁学院数学系,湖北咸宁437005 [3]武汉化工学院理学院,湖北武汉430073 [4]华中师范大学数学系,湖北武汉430079

出　　处：《数学杂志》2006年第2期155-160,共6页Journal of Mathematics

摘　　要：本文研究了一个半线性椭圆型方程正整体解的存在性问题.利用上下解方法克服了非齐次项出现带来的困难,获得了正整体解存在的必要条件,具体地给出了在此条件下正整体解所处的领域.In this paper we study the existence of positive global solutions for a semilinear elliptic equation. We use the methods of super-solution and sub-solution to overcome the difficulty of an inhomogeneous term, thus we obtaine the necessary condition which positive global solutions for a semilinear eliptic equation possibly exist, and given the neighborhood which positive global solutions for a semUinear elliptic equation lie in.

关 键 词：椭圆型方程 存在性 上下解 

分 类 号：O175.25[理学—数学]